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Finding the Fourth Proportional to 499.80, 747.90 and 456.60

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Solution

The fourth proportional to 499.80, 747.90 and 456.60 is: 683.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.80 : 747.90 = 456.60 : x
  2. Step 2: Convert to fraction form
    499.80/747.90 = 456.60/x
  3. Step 3: Cross multiply
    499.80x = 747.90 × 456.60
  4. Step 4: Simplify right side
    499.80x = 341,491.14
  5. Step 5: Solve for x
    x = 341,491.14/499.80
  6. Step 6: Final answer
    x = 683.26

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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.