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Finding the Fourth Proportional to 1,077.95, 1,615.75 and 461.15

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Solution

The fourth proportional to 1,077.95, 1,615.75 and 461.15 is: 691.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.95 : 1,615.75 = 461.15 : x
  2. Step 2: Convert to fraction form
    1,077.95/1,615.75 = 461.15/x
  3. Step 3: Cross multiply
    1,077.95x = 1,615.75 × 461.15
  4. Step 4: Simplify right side
    1,077.95x = 745,103.11
  5. Step 5: Solve for x
    x = 745,103.11/1,077.95
  6. Step 6: Final answer
    x = 691.22

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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.