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Finding the Fourth Proportional to 783.16, 1,172.61 and 489.95

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Solution

The fourth proportional to 783.16, 1,172.61 and 489.95 is: 733.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.16 : 1,172.61 = 489.95 : x
  2. Step 2: Convert to fraction form
    783.16/1,172.61 = 489.95/x
  3. Step 3: Cross multiply
    783.16x = 1,172.61 × 489.95
  4. Step 4: Simplify right side
    783.16x = 574,520.27
  5. Step 5: Solve for x
    x = 574,520.27/783.16
  6. Step 6: Final answer
    x = 733.59

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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.