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Finding the Fourth Proportional to 532.95, 794.87 and 489.21

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Solution

The fourth proportional to 532.95, 794.87 and 489.21 is: 729.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.95 : 794.87 = 489.21 : x
  2. Step 2: Convert to fraction form
    532.95/794.87 = 489.21/x
  3. Step 3: Cross multiply
    532.95x = 794.87 × 489.21
  4. Step 4: Simplify right side
    532.95x = 388,855.91
  5. Step 5: Solve for x
    x = 388,855.91/532.95
  6. Step 6: Final answer
    x = 729.63

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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.