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Finding the Fourth Proportional to 842.88, 1,265.22 and 478.38

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Solution

The fourth proportional to 842.88, 1,265.22 and 478.38 is: 718.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.88 : 1,265.22 = 478.38 : x
  2. Step 2: Convert to fraction form
    842.88/1,265.22 = 478.38/x
  3. Step 3: Cross multiply
    842.88x = 1,265.22 × 478.38
  4. Step 4: Simplify right side
    842.88x = 605,255.94
  5. Step 5: Solve for x
    x = 605,255.94/842.88
  6. Step 6: Final answer
    x = 718.08

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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.