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Finding the Fourth Proportional to 996.40, 1,374 and 701.20

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Solution

The fourth proportional to 996.40, 1,374 and 701.20 is: 966.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.40 : 1,374 = 701.20 : x
  2. Step 2: Convert to fraction form
    996.40/1,374 = 701.20/x
  3. Step 3: Cross multiply
    996.40x = 1,374 × 701.20
  4. Step 4: Simplify right side
    996.40x = 963,448.80
  5. Step 5: Solve for x
    x = 963,448.80/996.40
  6. Step 6: Final answer
    x = 966.93

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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.