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Finding the Fourth Proportional to 489.17, 728.24 and 482.33

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Solution

The fourth proportional to 489.17, 728.24 and 482.33 is: 718.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.17 : 728.24 = 482.33 : x
  2. Step 2: Convert to fraction form
    489.17/728.24 = 482.33/x
  3. Step 3: Cross multiply
    489.17x = 728.24 × 482.33
  4. Step 4: Simplify right side
    489.17x = 351,245.95
  5. Step 5: Solve for x
    x = 351,245.95/489.17
  6. Step 6: Final answer
    x = 718.05

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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.