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Finding the Fourth Proportional to 749.59, 1,118.83 and 703.42

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Solution

The fourth proportional to 749.59, 1,118.83 and 703.42 is: 1,049.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.59 : 1,118.83 = 703.42 : x
  2. Step 2: Convert to fraction form
    749.59/1,118.83 = 703.42/x
  3. Step 3: Cross multiply
    749.59x = 1,118.83 × 703.42
  4. Step 4: Simplify right side
    749.59x = 787,004.16
  5. Step 5: Solve for x
    x = 787,004.16/749.59
  6. Step 6: Final answer
    x = 1,049.92

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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.