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Finding the Fourth Proportional to 471.28, 646.82 and 432.40

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Solution

The fourth proportional to 471.28, 646.82 and 432.40 is: 593.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.28 : 646.82 = 432.40 : x
  2. Step 2: Convert to fraction form
    471.28/646.82 = 432.40/x
  3. Step 3: Cross multiply
    471.28x = 646.82 × 432.40
  4. Step 4: Simplify right side
    471.28x = 279,684.97
  5. Step 5: Solve for x
    x = 279,684.97/471.28
  6. Step 6: Final answer
    x = 593.46

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.