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Finding the Fourth Proportional to 1,310.68, 1,966.04 and 433.20

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Solution

The fourth proportional to 1,310.68, 1,966.04 and 433.20 is: 649.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.68 : 1,966.04 = 433.20 : x
  2. Step 2: Convert to fraction form
    1,310.68/1,966.04 = 433.20/x
  3. Step 3: Cross multiply
    1,310.68x = 1,966.04 × 433.20
  4. Step 4: Simplify right side
    1,310.68x = 851,688.53
  5. Step 5: Solve for x
    x = 851,688.53/1,310.68
  6. Step 6: Final answer
    x = 649.81

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.