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Finding the Fourth Proportional to 658.89, 983.50 and 581.04

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Solution

The fourth proportional to 658.89, 983.50 and 581.04 is: 867.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.89 : 983.50 = 581.04 : x
  2. Step 2: Convert to fraction form
    658.89/983.50 = 581.04/x
  3. Step 3: Cross multiply
    658.89x = 983.50 × 581.04
  4. Step 4: Simplify right side
    658.89x = 571,452.84
  5. Step 5: Solve for x
    x = 571,452.84/658.89
  6. Step 6: Final answer
    x = 867.30

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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.