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Finding the Fourth Proportional to 715.61, 986.89 and 491.44

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Solution

The fourth proportional to 715.61, 986.89 and 491.44 is: 677.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.61 : 986.89 = 491.44 : x
  2. Step 2: Convert to fraction form
    715.61/986.89 = 491.44/x
  3. Step 3: Cross multiply
    715.61x = 986.89 × 491.44
  4. Step 4: Simplify right side
    715.61x = 484,992.29
  5. Step 5: Solve for x
    x = 484,992.29/715.61
  6. Step 6: Final answer
    x = 677.74

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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.