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Finding the Fourth Proportional to 640.18, 958.10 and 477.46

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Solution

The fourth proportional to 640.18, 958.10 and 477.46 is: 714.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.18 : 958.10 = 477.46 : x
  2. Step 2: Convert to fraction form
    640.18/958.10 = 477.46/x
  3. Step 3: Cross multiply
    640.18x = 958.10 × 477.46
  4. Step 4: Simplify right side
    640.18x = 457,454.43
  5. Step 5: Solve for x
    x = 457,454.43/640.18
  6. Step 6: Final answer
    x = 714.57

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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.