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Finding the Fourth Proportional to 862.52, 1,294.01 and 496.65

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Solution

The fourth proportional to 862.52, 1,294.01 and 496.65 is: 745.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.52 : 1,294.01 = 496.65 : x
  2. Step 2: Convert to fraction form
    862.52/1,294.01 = 496.65/x
  3. Step 3: Cross multiply
    862.52x = 1,294.01 × 496.65
  4. Step 4: Simplify right side
    862.52x = 642,667.58
  5. Step 5: Solve for x
    x = 642,667.58/862.52
  6. Step 6: Final answer
    x = 745.10

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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.