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Finding the Fourth Proportional to 971.98, 1,460.13 and 842.38

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Solution

The fourth proportional to 971.98, 1,460.13 and 842.38 is: 1,265.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.98 : 1,460.13 = 842.38 : x
  2. Step 2: Convert to fraction form
    971.98/1,460.13 = 842.38/x
  3. Step 3: Cross multiply
    971.98x = 1,460.13 × 842.38
  4. Step 4: Simplify right side
    971.98x = 1,229,984.31
  5. Step 5: Solve for x
    x = 1,229,984.31/971.98
  6. Step 6: Final answer
    x = 1,265.44

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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.