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Finding the Fourth Proportional to 424.29, 634.17 and 369.00

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Solution

The fourth proportional to 424.29, 634.17 and 369.00 is: 551.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.29 : 634.17 = 369.00 : x
  2. Step 2: Convert to fraction form
    424.29/634.17 = 369.00/x
  3. Step 3: Cross multiply
    424.29x = 634.17 × 369.00
  4. Step 4: Simplify right side
    424.29x = 234,003.71
  5. Step 5: Solve for x
    x = 234,003.71/424.29
  6. Step 6: Final answer
    x = 551.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.