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Finding the Fourth Proportional to 658.71, 983.23 and 572.65

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Solution

The fourth proportional to 658.71, 983.23 and 572.65 is: 854.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.71 : 983.23 = 572.65 : x
  2. Step 2: Convert to fraction form
    658.71/983.23 = 572.65/x
  3. Step 3: Cross multiply
    658.71x = 983.23 × 572.65
  4. Step 4: Simplify right side
    658.71x = 563,042.77
  5. Step 5: Solve for x
    x = 563,042.77/658.71
  6. Step 6: Final answer
    x = 854.77

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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.