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Finding the Fourth Proportional to 1,077.90, 1,614.11 and 711.57

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Solution

The fourth proportional to 1,077.90, 1,614.11 and 711.57 is: 1,065.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.90 : 1,614.11 = 711.57 : x
  2. Step 2: Convert to fraction form
    1,077.90/1,614.11 = 711.57/x
  3. Step 3: Cross multiply
    1,077.90x = 1,614.11 × 711.57
  4. Step 4: Simplify right side
    1,077.90x = 1,148,548.69
  5. Step 5: Solve for x
    x = 1,148,548.69/1,077.90
  6. Step 6: Final answer
    x = 1,065.54

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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.