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Finding the Fourth Proportional to 1,310.93, 1,966.44 and 433.45

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Solution

The fourth proportional to 1,310.93, 1,966.44 and 433.45 is: 650.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.93 : 1,966.44 = 433.45 : x
  2. Step 2: Convert to fraction form
    1,310.93/1,966.44 = 433.45/x
  3. Step 3: Cross multiply
    1,310.93x = 1,966.44 × 433.45
  4. Step 4: Simplify right side
    1,310.93x = 852,341.42
  5. Step 5: Solve for x
    x = 852,341.42/1,310.93
  6. Step 6: Final answer
    x = 650.18

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Half scale
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Double scale
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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.