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Finding the Fourth Proportional to 716.85, 1,076.28 and 458.46

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Solution

The fourth proportional to 716.85, 1,076.28 and 458.46 is: 688.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.85 : 1,076.28 = 458.46 : x
  2. Step 2: Convert to fraction form
    716.85/1,076.28 = 458.46/x
  3. Step 3: Cross multiply
    716.85x = 1,076.28 × 458.46
  4. Step 4: Simplify right side
    716.85x = 493,431.33
  5. Step 5: Solve for x
    x = 493,431.33/716.85
  6. Step 6: Final answer
    x = 688.33

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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.