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Finding the Fourth Proportional to 678.38, 935.69 and 530.73

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Solution

The fourth proportional to 678.38, 935.69 and 530.73 is: 732.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.38 : 935.69 = 530.73 : x
  2. Step 2: Convert to fraction form
    678.38/935.69 = 530.73/x
  3. Step 3: Cross multiply
    678.38x = 935.69 × 530.73
  4. Step 4: Simplify right side
    678.38x = 496,596.10
  5. Step 5: Solve for x
    x = 496,596.10/678.38
  6. Step 6: Final answer
    x = 732.04

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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.