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Finding the Fourth Proportional to 657.59, 984.31 and 450.95

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Solution

The fourth proportional to 657.59, 984.31 and 450.95 is: 675.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.59 : 984.31 = 450.95 : x
  2. Step 2: Convert to fraction form
    657.59/984.31 = 450.95/x
  3. Step 3: Cross multiply
    657.59x = 984.31 × 450.95
  4. Step 4: Simplify right side
    657.59x = 443,868.55
  5. Step 5: Solve for x
    x = 443,868.55/657.59
  6. Step 6: Final answer
    x = 675.00

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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.