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Finding the Fourth Proportional to 497, 687.16 and 489.20

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Solution

The fourth proportional to 497, 687.16 and 489.20 is: 676.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    497 : 687.16 = 489.20 : x
  2. Step 2: Convert to fraction form
    497/687.16 = 489.20/x
  3. Step 3: Cross multiply
    497x = 687.16 × 489.20
  4. Step 4: Simplify right side
    497x = 336,158.67
  5. Step 5: Solve for x
    x = 336,158.67/497
  6. Step 6: Final answer
    x = 676.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.