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Finding the Fourth Proportional to 982.92, 1,477.68 and 769.08

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Solution

The fourth proportional to 982.92, 1,477.68 and 769.08 is: 1,156.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.92 : 1,477.68 = 769.08 : x
  2. Step 2: Convert to fraction form
    982.92/1,477.68 = 769.08/x
  3. Step 3: Cross multiply
    982.92x = 1,477.68 × 769.08
  4. Step 4: Simplify right side
    982.92x = 1,136,454.13
  5. Step 5: Solve for x
    x = 1,136,454.13/982.92
  6. Step 6: Final answer
    x = 1,156.20

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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.