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Finding the Fourth Proportional to 648.14, 974.07 and 539.12

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Solution

The fourth proportional to 648.14, 974.07 and 539.12 is: 810.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.14 : 974.07 = 539.12 : x
  2. Step 2: Convert to fraction form
    648.14/974.07 = 539.12/x
  3. Step 3: Cross multiply
    648.14x = 974.07 × 539.12
  4. Step 4: Simplify right side
    648.14x = 525,143.05
  5. Step 5: Solve for x
    x = 525,143.05/648.14
  6. Step 6: Final answer
    x = 810.24

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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.