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Finding the Fourth Proportional to 961.69, 1,442.02 and 498.32

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Solution

The fourth proportional to 961.69, 1,442.02 and 498.32 is: 747.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.69 : 1,442.02 = 498.32 : x
  2. Step 2: Convert to fraction form
    961.69/1,442.02 = 498.32/x
  3. Step 3: Cross multiply
    961.69x = 1,442.02 × 498.32
  4. Step 4: Simplify right side
    961.69x = 718,581.31
  5. Step 5: Solve for x
    x = 718,581.31/961.69
  6. Step 6: Final answer
    x = 747.21

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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.