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Finding the Fourth Proportional to 489.16, 729.82 and 452.71

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Solution

The fourth proportional to 489.16, 729.82 and 452.71 is: 675.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.16 : 729.82 = 452.71 : x
  2. Step 2: Convert to fraction form
    489.16/729.82 = 452.71/x
  3. Step 3: Cross multiply
    489.16x = 729.82 × 452.71
  4. Step 4: Simplify right side
    489.16x = 330,396.81
  5. Step 5: Solve for x
    x = 330,396.81/489.16
  6. Step 6: Final answer
    x = 675.44

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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.