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Finding the Fourth Proportional to 782.80, 1,168.10 and 777.40

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Solution

The fourth proportional to 782.80, 1,168.10 and 777.40 is: 1,160.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.80 : 1,168.10 = 777.40 : x
  2. Step 2: Convert to fraction form
    782.80/1,168.10 = 777.40/x
  3. Step 3: Cross multiply
    782.80x = 1,168.10 × 777.40
  4. Step 4: Simplify right side
    782.80x = 908,080.94
  5. Step 5: Solve for x
    x = 908,080.94/782.80
  6. Step 6: Final answer
    x = 1,160.04

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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.