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Finding the Fourth Proportional to 749.87, 1,119.25 and 703.70

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Solution

The fourth proportional to 749.87, 1,119.25 and 703.70 is: 1,050.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.87 : 1,119.25 = 703.70 : x
  2. Step 2: Convert to fraction form
    749.87/1,119.25 = 703.70/x
  3. Step 3: Cross multiply
    749.87x = 1,119.25 × 703.70
  4. Step 4: Simplify right side
    749.87x = 787,613.73
  5. Step 5: Solve for x
    x = 787,613.73/749.87
  6. Step 6: Final answer
    x = 1,050.34

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1.5x scale

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.