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Finding the Fourth Proportional to 489.12, 732.25 and 424.05

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Solution

The fourth proportional to 489.12, 732.25 and 424.05 is: 634.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.12 : 732.25 = 424.05 : x
  2. Step 2: Convert to fraction form
    489.12/732.25 = 424.05/x
  3. Step 3: Cross multiply
    489.12x = 732.25 × 424.05
  4. Step 4: Simplify right side
    489.12x = 310,510.61
  5. Step 5: Solve for x
    x = 310,510.61/489.12
  6. Step 6: Final answer
    x = 634.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.