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Finding the Fourth Proportional to 777.47, 1,162.73 and 691.34

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Solution

The fourth proportional to 777.47, 1,162.73 and 691.34 is: 1,033.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.47 : 1,162.73 = 691.34 : x
  2. Step 2: Convert to fraction form
    777.47/1,162.73 = 691.34/x
  3. Step 3: Cross multiply
    777.47x = 1,162.73 × 691.34
  4. Step 4: Simplify right side
    777.47x = 803,838.30
  5. Step 5: Solve for x
    x = 803,838.30/777.47
  6. Step 6: Final answer
    x = 1,033.92

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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.