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Finding the Fourth Proportional to 500.40, 748.40 and 445.95

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Solution

The fourth proportional to 500.40, 748.40 and 445.95 is: 666.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.40 : 748.40 = 445.95 : x
  2. Step 2: Convert to fraction form
    500.40/748.40 = 445.95/x
  3. Step 3: Cross multiply
    500.40x = 748.40 × 445.95
  4. Step 4: Simplify right side
    500.40x = 333,746.75
  5. Step 5: Solve for x
    x = 333,746.75/500.40
  6. Step 6: Final answer
    x = 666.96

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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.