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Finding the Fourth Proportional to 971.20, 1,342.20 and 723.34

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Solution

The fourth proportional to 971.20, 1,342.20 and 723.34 is: 999.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.20 : 1,342.20 = 723.34 : x
  2. Step 2: Convert to fraction form
    971.20/1,342.20 = 723.34/x
  3. Step 3: Cross multiply
    971.20x = 1,342.20 × 723.34
  4. Step 4: Simplify right side
    971.20x = 970,866.95
  5. Step 5: Solve for x
    x = 970,866.95/971.20
  6. Step 6: Final answer
    x = 999.66

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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.