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Finding the Fourth Proportional to 1,254.49, 1,730.88 and 723.53

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Solution

The fourth proportional to 1,254.49, 1,730.88 and 723.53 is: 998.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.49 : 1,730.88 = 723.53 : x
  2. Step 2: Convert to fraction form
    1,254.49/1,730.88 = 723.53/x
  3. Step 3: Cross multiply
    1,254.49x = 1,730.88 × 723.53
  4. Step 4: Simplify right side
    1,254.49x = 1,252,347.93
  5. Step 5: Solve for x
    x = 1,252,347.93/1,254.49
  6. Step 6: Final answer
    x = 998.29

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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.