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Finding the Fourth Proportional to 610.14, 914.92 and 317.35

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Solution

The fourth proportional to 610.14, 914.92 and 317.35 is: 475.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.14 : 914.92 = 317.35 : x
  2. Step 2: Convert to fraction form
    610.14/914.92 = 317.35/x
  3. Step 3: Cross multiply
    610.14x = 914.92 × 317.35
  4. Step 4: Simplify right side
    610.14x = 290,349.86
  5. Step 5: Solve for x
    x = 290,349.86/610.14
  6. Step 6: Final answer
    x = 475.87

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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.