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Finding the Fourth Proportional to 708.32, 977.20 and 432.48

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Solution

The fourth proportional to 708.32, 977.20 and 432.48 is: 596.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.32 : 977.20 = 432.48 : x
  2. Step 2: Convert to fraction form
    708.32/977.20 = 432.48/x
  3. Step 3: Cross multiply
    708.32x = 977.20 × 432.48
  4. Step 4: Simplify right side
    708.32x = 422,619.46
  5. Step 5: Solve for x
    x = 422,619.46/708.32
  6. Step 6: Final answer
    x = 596.65

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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.