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Finding the Fourth Proportional to 1,077.39, 1,614.78 and 491.59

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Solution

The fourth proportional to 1,077.39, 1,614.78 and 491.59 is: 736.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.39 : 1,614.78 = 491.59 : x
  2. Step 2: Convert to fraction form
    1,077.39/1,614.78 = 491.59/x
  3. Step 3: Cross multiply
    1,077.39x = 1,614.78 × 491.59
  4. Step 4: Simplify right side
    1,077.39x = 793,805.75
  5. Step 5: Solve for x
    x = 793,805.75/1,077.39
  6. Step 6: Final answer
    x = 736.79

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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.