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Finding the Fourth Proportional to 715.73, 987.87 and 576.77

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Solution

The fourth proportional to 715.73, 987.87 and 576.77 is: 796.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.73 : 987.87 = 576.77 : x
  2. Step 2: Convert to fraction form
    715.73/987.87 = 576.77/x
  3. Step 3: Cross multiply
    715.73x = 987.87 × 576.77
  4. Step 4: Simplify right side
    715.73x = 569,773.78
  5. Step 5: Solve for x
    x = 569,773.78/715.73
  6. Step 6: Final answer
    x = 796.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.