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Finding the Fourth Proportional to 721.98, 1,074.31 and 719.55

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Solution

The fourth proportional to 721.98, 1,074.31 and 719.55 is: 1,070.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.98 : 1,074.31 = 719.55 : x
  2. Step 2: Convert to fraction form
    721.98/1,074.31 = 719.55/x
  3. Step 3: Cross multiply
    721.98x = 1,074.31 × 719.55
  4. Step 4: Simplify right side
    721.98x = 773,017.96
  5. Step 5: Solve for x
    x = 773,017.96/721.98
  6. Step 6: Final answer
    x = 1,070.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.