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Finding the Fourth Proportional to 657.19, 984.48 and 437.15

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Solution

The fourth proportional to 657.19, 984.48 and 437.15 is: 654.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.19 : 984.48 = 437.15 : x
  2. Step 2: Convert to fraction form
    657.19/984.48 = 437.15/x
  3. Step 3: Cross multiply
    657.19x = 984.48 × 437.15
  4. Step 4: Simplify right side
    657.19x = 430,361.95
  5. Step 5: Solve for x
    x = 430,361.95/657.19
  6. Step 6: Final answer
    x = 654.85

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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.