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Finding the Fourth Proportional to 657, 984.24 and 618.87

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Solution

The fourth proportional to 657, 984.24 and 618.87 is: 927.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    657 : 984.24 = 618.87 : x
  2. Step 2: Convert to fraction form
    657/984.24 = 618.87/x
  3. Step 3: Cross multiply
    657x = 984.24 × 618.87
  4. Step 4: Simplify right side
    657x = 609,116.61
  5. Step 5: Solve for x
    x = 609,116.61/657
  6. Step 6: Final answer
    x = 927.12

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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.