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Finding the Fourth Proportional to 952.47, 1,429.16 and 432.83

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Solution

The fourth proportional to 952.47, 1,429.16 and 432.83 is: 649.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.47 : 1,429.16 = 432.83 : x
  2. Step 2: Convert to fraction form
    952.47/1,429.16 = 432.83/x
  3. Step 3: Cross multiply
    952.47x = 1,429.16 × 432.83
  4. Step 4: Simplify right side
    952.47x = 618,584.73
  5. Step 5: Solve for x
    x = 618,584.73/952.47
  6. Step 6: Final answer
    x = 649.45

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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.