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Finding the Fourth Proportional to 648.48, 970.92 and 540.72

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Solution

The fourth proportional to 648.48, 970.92 and 540.72 is: 809.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.48 : 970.92 = 540.72 : x
  2. Step 2: Convert to fraction form
    648.48/970.92 = 540.72/x
  3. Step 3: Cross multiply
    648.48x = 970.92 × 540.72
  4. Step 4: Simplify right side
    648.48x = 524,995.86
  5. Step 5: Solve for x
    x = 524,995.86/648.48
  6. Step 6: Final answer
    x = 809.58

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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.