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Finding the Fourth Proportional to 610.95, 842.78 and 378.03

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Solution

The fourth proportional to 610.95, 842.78 and 378.03 is: 521.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.95 : 842.78 = 378.03 : x
  2. Step 2: Convert to fraction form
    610.95/842.78 = 378.03/x
  3. Step 3: Cross multiply
    610.95x = 842.78 × 378.03
  4. Step 4: Simplify right side
    610.95x = 318,594.23
  5. Step 5: Solve for x
    x = 318,594.23/610.95
  6. Step 6: Final answer
    x = 521.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.