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Finding the Fourth Proportional to 639.60, 958.32 and 477.24

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Solution

The fourth proportional to 639.60, 958.32 and 477.24 is: 715.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.60 : 958.32 = 477.24 : x
  2. Step 2: Convert to fraction form
    639.60/958.32 = 477.24/x
  3. Step 3: Cross multiply
    639.60x = 958.32 × 477.24
  4. Step 4: Simplify right side
    639.60x = 457,348.64
  5. Step 5: Solve for x
    x = 457,348.64/639.60
  6. Step 6: Final answer
    x = 715.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.