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Finding the Fourth Proportional to 471.44, 703.72 and 432.92

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Solution

The fourth proportional to 471.44, 703.72 and 432.92 is: 646.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.44 : 703.72 = 432.92 : x
  2. Step 2: Convert to fraction form
    471.44/703.72 = 432.92/x
  3. Step 3: Cross multiply
    471.44x = 703.72 × 432.92
  4. Step 4: Simplify right side
    471.44x = 304,654.46
  5. Step 5: Solve for x
    x = 304,654.46/471.44
  6. Step 6: Final answer
    x = 646.22

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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.