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Finding the Fourth Proportional to 610.48, 911.51 and 523.68

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Solution

The fourth proportional to 610.48, 911.51 and 523.68 is: 781.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.48 : 911.51 = 523.68 : x
  2. Step 2: Convert to fraction form
    610.48/911.51 = 523.68/x
  3. Step 3: Cross multiply
    610.48x = 911.51 × 523.68
  4. Step 4: Simplify right side
    610.48x = 477,339.56
  5. Step 5: Solve for x
    x = 477,339.56/610.48
  6. Step 6: Final answer
    x = 781.91

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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.