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Finding the Fourth Proportional to 473.52, 706.98 and 432.48

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Solution

The fourth proportional to 473.52, 706.98 and 432.48 is: 645.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.52 : 706.98 = 432.48 : x
  2. Step 2: Convert to fraction form
    473.52/706.98 = 432.48/x
  3. Step 3: Cross multiply
    473.52x = 706.98 × 432.48
  4. Step 4: Simplify right side
    473.52x = 305,754.71
  5. Step 5: Solve for x
    x = 305,754.71/473.52
  6. Step 6: Final answer
    x = 645.71

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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.