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Finding the Fourth Proportional to 610.76, 914.70 and 378.92

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Solution

The fourth proportional to 610.76, 914.70 and 378.92 is: 567.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.76 : 914.70 = 378.92 : x
  2. Step 2: Convert to fraction form
    610.76/914.70 = 378.92/x
  3. Step 3: Cross multiply
    610.76x = 914.70 × 378.92
  4. Step 4: Simplify right side
    610.76x = 346,598.12
  5. Step 5: Solve for x
    x = 346,598.12/610.76
  6. Step 6: Final answer
    x = 567.49

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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.