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Finding the Fourth Proportional to 716.40, 1,076.04 and 586.62

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Solution

The fourth proportional to 716.40, 1,076.04 and 586.62 is: 881.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.40 : 1,076.04 = 586.62 : x
  2. Step 2: Convert to fraction form
    716.40/1,076.04 = 586.62/x
  3. Step 3: Cross multiply
    716.40x = 1,076.04 × 586.62
  4. Step 4: Simplify right side
    716.40x = 631,226.58
  5. Step 5: Solve for x
    x = 631,226.58/716.40
  6. Step 6: Final answer
    x = 881.11

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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.