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Finding the Fourth Proportional to 1,711.61, 2,567.41 and 615.95

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Solution

The fourth proportional to 1,711.61, 2,567.41 and 615.95 is: 923.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,711.61 : 2,567.41 = 615.95 : x
  2. Step 2: Convert to fraction form
    1,711.61/2,567.41 = 615.95/x
  3. Step 3: Cross multiply
    1,711.61x = 2,567.41 × 615.95
  4. Step 4: Simplify right side
    1,711.61x = 1,581,385.28
  5. Step 5: Solve for x
    x = 1,581,385.28/1,711.61
  6. Step 6: Final answer
    x = 923.92

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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.