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Finding the Fourth Proportional to 657.38, 986.11 and 578.14

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Solution

The fourth proportional to 657.38, 986.11 and 578.14 is: 867.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.38 : 986.11 = 578.14 : x
  2. Step 2: Convert to fraction form
    657.38/986.11 = 578.14/x
  3. Step 3: Cross multiply
    657.38x = 986.11 × 578.14
  4. Step 4: Simplify right side
    657.38x = 570,105.72
  5. Step 5: Solve for x
    x = 570,105.72/657.38
  6. Step 6: Final answer
    x = 867.24

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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.