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Finding the Fourth Proportional to 610.14, 914.70 and 301.86

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Solution

The fourth proportional to 610.14, 914.70 and 301.86 is: 452.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.14 : 914.70 = 301.86 : x
  2. Step 2: Convert to fraction form
    610.14/914.70 = 301.86/x
  3. Step 3: Cross multiply
    610.14x = 914.70 × 301.86
  4. Step 4: Simplify right side
    610.14x = 276,111.34
  5. Step 5: Solve for x
    x = 276,111.34/610.14
  6. Step 6: Final answer
    x = 452.54

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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.