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Finding the Fourth Proportional to 708.24, 976.92 and 432.24

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Solution

The fourth proportional to 708.24, 976.92 and 432.24 is: 596.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.24 : 976.92 = 432.24 : x
  2. Step 2: Convert to fraction form
    708.24/976.92 = 432.24/x
  3. Step 3: Cross multiply
    708.24x = 976.92 × 432.24
  4. Step 4: Simplify right side
    708.24x = 422,263.90
  5. Step 5: Solve for x
    x = 422,263.90/708.24
  6. Step 6: Final answer
    x = 596.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.