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Finding the Fourth Proportional to 498.68, 744.43 and 462.63

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Solution

The fourth proportional to 498.68, 744.43 and 462.63 is: 690.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.68 : 744.43 = 462.63 : x
  2. Step 2: Convert to fraction form
    498.68/744.43 = 462.63/x
  3. Step 3: Cross multiply
    498.68x = 744.43 × 462.63
  4. Step 4: Simplify right side
    498.68x = 344,395.65
  5. Step 5: Solve for x
    x = 344,395.65/498.68
  6. Step 6: Final answer
    x = 690.61

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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.