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Finding the Fourth Proportional to 560.90, 842.56 and 378.66

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Solution

The fourth proportional to 560.90, 842.56 and 378.66 is: 568.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.90 : 842.56 = 378.66 : x
  2. Step 2: Convert to fraction form
    560.90/842.56 = 378.66/x
  3. Step 3: Cross multiply
    560.90x = 842.56 × 378.66
  4. Step 4: Simplify right side
    560.90x = 319,043.77
  5. Step 5: Solve for x
    x = 319,043.77/560.90
  6. Step 6: Final answer
    x = 568.81

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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.