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Finding the Fourth Proportional to 782.70, 1,172.48 and 489.30

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Solution

The fourth proportional to 782.70, 1,172.48 and 489.30 is: 732.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.70 : 1,172.48 = 489.30 : x
  2. Step 2: Convert to fraction form
    782.70/1,172.48 = 489.30/x
  3. Step 3: Cross multiply
    782.70x = 1,172.48 × 489.30
  4. Step 4: Simplify right side
    782.70x = 573,692.02
  5. Step 5: Solve for x
    x = 573,692.02/782.70
  6. Step 6: Final answer
    x = 732.97

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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.