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Finding the Fourth Proportional to 777.60, 1,168.83 and 707.13

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Solution

The fourth proportional to 777.60, 1,168.83 and 707.13 is: 1,062.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.60 : 1,168.83 = 707.13 : x
  2. Step 2: Convert to fraction form
    777.60/1,168.83 = 707.13/x
  3. Step 3: Cross multiply
    777.60x = 1,168.83 × 707.13
  4. Step 4: Simplify right side
    777.60x = 826,514.76
  5. Step 5: Solve for x
    x = 826,514.76/777.60
  6. Step 6: Final answer
    x = 1,062.90

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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.