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Finding the Fourth Proportional to 658.50, 982.64 and 571.02

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Solution

The fourth proportional to 658.50, 982.64 and 571.02 is: 852.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.50 : 982.64 = 571.02 : x
  2. Step 2: Convert to fraction form
    658.50/982.64 = 571.02/x
  3. Step 3: Cross multiply
    658.50x = 982.64 × 571.02
  4. Step 4: Simplify right side
    658.50x = 561,108.52
  5. Step 5: Solve for x
    x = 561,108.52/658.50
  6. Step 6: Final answer
    x = 852.10

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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.