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Finding the Fourth Proportional to 658.54, 982.69 and 571.06

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Solution

The fourth proportional to 658.54, 982.69 and 571.06 is: 852.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.54 : 982.69 = 571.06 : x
  2. Step 2: Convert to fraction form
    658.54/982.69 = 571.06/x
  3. Step 3: Cross multiply
    658.54x = 982.69 × 571.06
  4. Step 4: Simplify right side
    658.54x = 561,170.04
  5. Step 5: Solve for x
    x = 561,170.04/658.54
  6. Step 6: Final answer
    x = 852.15

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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.