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Finding the Fourth Proportional to 715.74, 987.39 and 505.92

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Solution

The fourth proportional to 715.74, 987.39 and 505.92 is: 697.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.74 : 987.39 = 505.92 : x
  2. Step 2: Convert to fraction form
    715.74/987.39 = 505.92/x
  3. Step 3: Cross multiply
    715.74x = 987.39 × 505.92
  4. Step 4: Simplify right side
    715.74x = 499,540.35
  5. Step 5: Solve for x
    x = 499,540.35/715.74
  6. Step 6: Final answer
    x = 697.94

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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.