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Finding the Fourth Proportional to 658.79, 983.06 and 571.31

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Solution

The fourth proportional to 658.79, 983.06 and 571.31 is: 852.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.79 : 983.06 = 571.31 : x
  2. Step 2: Convert to fraction form
    658.79/983.06 = 571.31/x
  3. Step 3: Cross multiply
    658.79x = 983.06 × 571.31
  4. Step 4: Simplify right side
    658.79x = 561,628.52
  5. Step 5: Solve for x
    x = 561,628.52/658.79
  6. Step 6: Final answer
    x = 852.52

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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.