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Finding the Fourth Proportional to 678.76, 935.66 and 531.14

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Solution

The fourth proportional to 678.76, 935.66 and 531.14 is: 732.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.76 : 935.66 = 531.14 : x
  2. Step 2: Convert to fraction form
    678.76/935.66 = 531.14/x
  3. Step 3: Cross multiply
    678.76x = 935.66 × 531.14
  4. Step 4: Simplify right side
    678.76x = 496,963.10
  5. Step 5: Solve for x
    x = 496,963.10/678.76
  6. Step 6: Final answer
    x = 732.17

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Double scale
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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.