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Finding the Fourth Proportional to 497.71, 742.18 and 463.08

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Solution

The fourth proportional to 497.71, 742.18 and 463.08 is: 690.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.71 : 742.18 = 463.08 : x
  2. Step 2: Convert to fraction form
    497.71/742.18 = 463.08/x
  3. Step 3: Cross multiply
    497.71x = 742.18 × 463.08
  4. Step 4: Simplify right side
    497.71x = 343,687.56
  5. Step 5: Solve for x
    x = 343,687.56/497.71
  6. Step 6: Final answer
    x = 690.54

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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.