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Finding the Fourth Proportional to 631.24, 945.40 and 542.39

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Solution

The fourth proportional to 631.24, 945.40 and 542.39 is: 812.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.24 : 945.40 = 542.39 : x
  2. Step 2: Convert to fraction form
    631.24/945.40 = 542.39/x
  3. Step 3: Cross multiply
    631.24x = 945.40 × 542.39
  4. Step 4: Simplify right side
    631.24x = 512,772.79
  5. Step 5: Solve for x
    x = 512,772.79/631.24
  6. Step 6: Final answer
    x = 812.33

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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.