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Finding the Fourth Proportional to 983.50, 1,475.25 and 253.08

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Solution

The fourth proportional to 983.50, 1,475.25 and 253.08 is: 379.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.50 : 1,475.25 = 253.08 : x
  2. Step 2: Convert to fraction form
    983.50/1,475.25 = 253.08/x
  3. Step 3: Cross multiply
    983.50x = 1,475.25 × 253.08
  4. Step 4: Simplify right side
    983.50x = 373,359.47
  5. Step 5: Solve for x
    x = 373,359.47/983.50
  6. Step 6: Final answer
    x = 379.62

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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.