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Finding the Fourth Proportional to 720.61, 1,077.52 and 514.54

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Solution

The fourth proportional to 720.61, 1,077.52 and 514.54 is: 769.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.61 : 1,077.52 = 514.54 : x
  2. Step 2: Convert to fraction form
    720.61/1,077.52 = 514.54/x
  3. Step 3: Cross multiply
    720.61x = 1,077.52 × 514.54
  4. Step 4: Simplify right side
    720.61x = 554,427.14
  5. Step 5: Solve for x
    x = 554,427.14/720.61
  6. Step 6: Final answer
    x = 769.39

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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.