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Finding the Fourth Proportional to 940.72, 1,411.24 and 502.24

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Solution

The fourth proportional to 940.72, 1,411.24 and 502.24 is: 753.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.72 : 1,411.24 = 502.24 : x
  2. Step 2: Convert to fraction form
    940.72/1,411.24 = 502.24/x
  3. Step 3: Cross multiply
    940.72x = 1,411.24 × 502.24
  4. Step 4: Simplify right side
    940.72x = 708,781.18
  5. Step 5: Solve for x
    x = 708,781.18/940.72
  6. Step 6: Final answer
    x = 753.45

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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.