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Finding the Fourth Proportional to 975, 1,344.86 and 842.76

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Solution

The fourth proportional to 975, 1,344.86 and 842.76 is: 1,162.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    975 : 1,344.86 = 842.76 : x
  2. Step 2: Convert to fraction form
    975/1,344.86 = 842.76/x
  3. Step 3: Cross multiply
    975x = 1,344.86 × 842.76
  4. Step 4: Simplify right side
    975x = 1,133,394.21
  5. Step 5: Solve for x
    x = 1,133,394.21/975
  6. Step 6: Final answer
    x = 1,162.46

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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.