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Finding the Fourth Proportional to 501.60, 747.09 and 498.90

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Solution

The fourth proportional to 501.60, 747.09 and 498.90 is: 743.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.60 : 747.09 = 498.90 : x
  2. Step 2: Convert to fraction form
    501.60/747.09 = 498.90/x
  3. Step 3: Cross multiply
    501.60x = 747.09 × 498.90
  4. Step 4: Simplify right side
    501.60x = 372,723.20
  5. Step 5: Solve for x
    x = 372,723.20/501.60
  6. Step 6: Final answer
    x = 743.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.