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Finding the Fourth Proportional to 501.11, 746.10 and 498.68

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Solution

The fourth proportional to 501.11, 746.10 and 498.68 is: 742.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.11 : 746.10 = 498.68 : x
  2. Step 2: Convert to fraction form
    501.11/746.10 = 498.68/x
  3. Step 3: Cross multiply
    501.11x = 746.10 × 498.68
  4. Step 4: Simplify right side
    501.11x = 372,061.42
  5. Step 5: Solve for x
    x = 372,061.42/501.11
  6. Step 6: Final answer
    x = 742.48

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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.