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Finding the Fourth Proportional to 657.18, 984.89 and 348.71

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Solution

The fourth proportional to 657.18, 984.89 and 348.71 is: 522.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.18 : 984.89 = 348.71 : x
  2. Step 2: Convert to fraction form
    657.18/984.89 = 348.71/x
  3. Step 3: Cross multiply
    657.18x = 984.89 × 348.71
  4. Step 4: Simplify right side
    657.18x = 343,436.94
  5. Step 5: Solve for x
    x = 343,436.94/657.18
  6. Step 6: Final answer
    x = 522.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.