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Finding the Fourth Proportional to 497.24, 737.07 and 489.50

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Solution

The fourth proportional to 497.24, 737.07 and 489.50 is: 725.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.24 : 737.07 = 489.50 : x
  2. Step 2: Convert to fraction form
    497.24/737.07 = 489.50/x
  3. Step 3: Cross multiply
    497.24x = 737.07 × 489.50
  4. Step 4: Simplify right side
    497.24x = 360,797.61
  5. Step 5: Solve for x
    x = 360,797.61/497.24
  6. Step 6: Final answer
    x = 725.60

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.