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Finding the Fourth Proportional to 610.13, 914.49 and 281.27

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Solution

The fourth proportional to 610.13, 914.49 and 281.27 is: 421.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.13 : 914.49 = 281.27 : x
  2. Step 2: Convert to fraction form
    610.13/914.49 = 281.27/x
  3. Step 3: Cross multiply
    610.13x = 914.49 × 281.27
  4. Step 4: Simplify right side
    610.13x = 257,220.89
  5. Step 5: Solve for x
    x = 257,220.89/610.13
  6. Step 6: Final answer
    x = 421.58

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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.