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Finding the Fourth Proportional to 610.65, 914.66 and 379.60

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Solution

The fourth proportional to 610.65, 914.66 and 379.60 is: 568.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.65 : 914.66 = 379.60 : x
  2. Step 2: Convert to fraction form
    610.65/914.66 = 379.60/x
  3. Step 3: Cross multiply
    610.65x = 914.66 × 379.60
  4. Step 4: Simplify right side
    610.65x = 347,205.89
  5. Step 5: Solve for x
    x = 347,205.89/610.65
  6. Step 6: Final answer
    x = 568.58

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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.