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Finding the Fourth Proportional to 610.92, 914.58 and 379.06

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Solution

The fourth proportional to 610.92, 914.58 and 379.06 is: 567.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.92 : 914.58 = 379.06 : x
  2. Step 2: Convert to fraction form
    610.92/914.58 = 379.06/x
  3. Step 3: Cross multiply
    610.92x = 914.58 × 379.06
  4. Step 4: Simplify right side
    610.92x = 346,680.69
  5. Step 5: Solve for x
    x = 346,680.69/610.92
  6. Step 6: Final answer
    x = 567.48

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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.