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Finding the Fourth Proportional to 499.03, 744.87 and 462.38

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Solution

The fourth proportional to 499.03, 744.87 and 462.38 is: 690.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.03 : 744.87 = 462.38 : x
  2. Step 2: Convert to fraction form
    499.03/744.87 = 462.38/x
  3. Step 3: Cross multiply
    499.03x = 744.87 × 462.38
  4. Step 4: Simplify right side
    499.03x = 344,411.00
  5. Step 5: Solve for x
    x = 344,411.00/499.03
  6. Step 6: Final answer
    x = 690.16

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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.