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Finding the Fourth Proportional to 630.71, 943.64 and 424.30

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Solution

The fourth proportional to 630.71, 943.64 and 424.30 is: 634.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.71 : 943.64 = 424.30 : x
  2. Step 2: Convert to fraction form
    630.71/943.64 = 424.30/x
  3. Step 3: Cross multiply
    630.71x = 943.64 × 424.30
  4. Step 4: Simplify right side
    630.71x = 400,379.61
  5. Step 5: Solve for x
    x = 400,379.61/630.71
  6. Step 6: Final answer
    x = 634.81

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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.