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Finding the Fourth Proportional to 961.26, 1,442.34 and 498.79

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Solution

The fourth proportional to 961.26, 1,442.34 and 498.79 is: 748.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.26 : 1,442.34 = 498.79 : x
  2. Step 2: Convert to fraction form
    961.26/1,442.34 = 498.79/x
  3. Step 3: Cross multiply
    961.26x = 1,442.34 × 498.79
  4. Step 4: Simplify right side
    961.26x = 719,426.02
  5. Step 5: Solve for x
    x = 719,426.02/961.26
  6. Step 6: Final answer
    x = 748.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.