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Finding the Fourth Proportional to 688.68, 949.41 and 478.53

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Solution

The fourth proportional to 688.68, 949.41 and 478.53 is: 659.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.68 : 949.41 = 478.53 : x
  2. Step 2: Convert to fraction form
    688.68/949.41 = 478.53/x
  3. Step 3: Cross multiply
    688.68x = 949.41 × 478.53
  4. Step 4: Simplify right side
    688.68x = 454,321.17
  5. Step 5: Solve for x
    x = 454,321.17/688.68
  6. Step 6: Final answer
    x = 659.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.