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Finding the Fourth Proportional to 1,143.84, 1,577.92 and 723.49

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Solution

The fourth proportional to 1,143.84, 1,577.92 and 723.49 is: 998.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.84 : 1,577.92 = 723.49 : x
  2. Step 2: Convert to fraction form
    1,143.84/1,577.92 = 723.49/x
  3. Step 3: Cross multiply
    1,143.84x = 1,577.92 × 723.49
  4. Step 4: Simplify right side
    1,143.84x = 1,141,605.40
  5. Step 5: Solve for x
    x = 1,141,605.40/1,143.84
  6. Step 6: Final answer
    x = 998.04

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1.5x scale

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.