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Finding the Fourth Proportional to 777.77, 1,167.50 and 691.66

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Solution

The fourth proportional to 777.77, 1,167.50 and 691.66 is: 1,038.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.77 : 1,167.50 = 691.66 : x
  2. Step 2: Convert to fraction form
    777.77/1,167.50 = 691.66/x
  3. Step 3: Cross multiply
    777.77x = 1,167.50 × 691.66
  4. Step 4: Simplify right side
    777.77x = 807,505.78
  5. Step 5: Solve for x
    x = 807,505.78/777.77
  6. Step 6: Final answer
    x = 1,038.23

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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.