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Finding the Fourth Proportional to 662.68, 913.68 and 627.88

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Solution

The fourth proportional to 662.68, 913.68 and 627.88 is: 865.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.68 : 913.68 = 627.88 : x
  2. Step 2: Convert to fraction form
    662.68/913.68 = 627.88/x
  3. Step 3: Cross multiply
    662.68x = 913.68 × 627.88
  4. Step 4: Simplify right side
    662.68x = 573,681.40
  5. Step 5: Solve for x
    x = 573,681.40/662.68
  6. Step 6: Final answer
    x = 865.70

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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.