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Finding the Fourth Proportional to 610.26, 914.18 and 378.60

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Solution

The fourth proportional to 610.26, 914.18 and 378.60 is: 567.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.26 : 914.18 = 378.60 : x
  2. Step 2: Convert to fraction form
    610.26/914.18 = 378.60/x
  3. Step 3: Cross multiply
    610.26x = 914.18 × 378.60
  4. Step 4: Simplify right side
    610.26x = 346,106.66
  5. Step 5: Solve for x
    x = 346,106.66/610.26
  6. Step 6: Final answer
    x = 567.15

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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.