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Finding the Fourth Proportional to 961.01, 1,439.64 and 499.10

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Solution

The fourth proportional to 961.01, 1,439.64 and 499.10 is: 747.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.01 : 1,439.64 = 499.10 : x
  2. Step 2: Convert to fraction form
    961.01/1,439.64 = 499.10/x
  3. Step 3: Cross multiply
    961.01x = 1,439.64 × 499.10
  4. Step 4: Simplify right side
    961.01x = 718,517.13
  5. Step 5: Solve for x
    x = 718,517.13/961.01
  6. Step 6: Final answer
    x = 747.67

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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.