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Finding the Fourth Proportional to 716.54, 1,069.45 and 658.82

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Solution

The fourth proportional to 716.54, 1,069.45 and 658.82 is: 983.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.54 : 1,069.45 = 658.82 : x
  2. Step 2: Convert to fraction form
    716.54/1,069.45 = 658.82/x
  3. Step 3: Cross multiply
    716.54x = 1,069.45 × 658.82
  4. Step 4: Simplify right side
    716.54x = 704,576.08
  5. Step 5: Solve for x
    x = 704,576.08/716.54
  6. Step 6: Final answer
    x = 983.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.