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Finding the Fourth Proportional to 648.20, 974.70 and 542.60

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Solution

The fourth proportional to 648.20, 974.70 and 542.60 is: 815.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.20 : 974.70 = 542.60 : x
  2. Step 2: Convert to fraction form
    648.20/974.70 = 542.60/x
  3. Step 3: Cross multiply
    648.20x = 974.70 × 542.60
  4. Step 4: Simplify right side
    648.20x = 528,872.22
  5. Step 5: Solve for x
    x = 528,872.22/648.20
  6. Step 6: Final answer
    x = 815.91

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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.