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Finding the Fourth Proportional to 856.46, 1,278.50 and 752.67

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Solution

The fourth proportional to 856.46, 1,278.50 and 752.67 is: 1,123.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.46 : 1,278.50 = 752.67 : x
  2. Step 2: Convert to fraction form
    856.46/1,278.50 = 752.67/x
  3. Step 3: Cross multiply
    856.46x = 1,278.50 × 752.67
  4. Step 4: Simplify right side
    856.46x = 962,278.44
  5. Step 5: Solve for x
    x = 962,278.44/856.46
  6. Step 6: Final answer
    x = 1,123.55

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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.