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Finding the Fourth Proportional to 662.40, 991.80 and 499.50

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Solution

The fourth proportional to 662.40, 991.80 and 499.50 is: 747.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.40 : 991.80 = 499.50 : x
  2. Step 2: Convert to fraction form
    662.40/991.80 = 499.50/x
  3. Step 3: Cross multiply
    662.40x = 991.80 × 499.50
  4. Step 4: Simplify right side
    662.40x = 495,404.10
  5. Step 5: Solve for x
    x = 495,404.10/662.40
  6. Step 6: Final answer
    x = 747.89

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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.