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Finding the Fourth Proportional to 657.38, 984.79 and 437.36

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Solution

The fourth proportional to 657.38, 984.79 and 437.36 is: 655.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.38 : 984.79 = 437.36 : x
  2. Step 2: Convert to fraction form
    657.38/984.79 = 437.36/x
  3. Step 3: Cross multiply
    657.38x = 984.79 × 437.36
  4. Step 4: Simplify right side
    657.38x = 430,705.40
  5. Step 5: Solve for x
    x = 430,705.40/657.38
  6. Step 6: Final answer
    x = 655.18

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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.