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Finding the Fourth Proportional to 501.73, 747.03 and 499.30

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Solution

The fourth proportional to 501.73, 747.03 and 499.30 is: 743.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.73 : 747.03 = 499.30 : x
  2. Step 2: Convert to fraction form
    501.73/747.03 = 499.30/x
  3. Step 3: Cross multiply
    501.73x = 747.03 × 499.30
  4. Step 4: Simplify right side
    501.73x = 372,992.08
  5. Step 5: Solve for x
    x = 372,992.08/501.73
  6. Step 6: Final answer
    x = 743.41

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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.