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Finding the Fourth Proportional to 716.34, 987.78 and 494.82

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Solution

The fourth proportional to 716.34, 987.78 and 494.82 is: 682.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.34 : 987.78 = 494.82 : x
  2. Step 2: Convert to fraction form
    716.34/987.78 = 494.82/x
  3. Step 3: Cross multiply
    716.34x = 987.78 × 494.82
  4. Step 4: Simplify right side
    716.34x = 488,773.30
  5. Step 5: Solve for x
    x = 488,773.30/716.34
  6. Step 6: Final answer
    x = 682.32

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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.