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Finding the Fourth Proportional to 854.15, 1,288.32 and 752.70

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Solution

The fourth proportional to 854.15, 1,288.32 and 752.70 is: 1,135.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.15 : 1,288.32 = 752.70 : x
  2. Step 2: Convert to fraction form
    854.15/1,288.32 = 752.70/x
  3. Step 3: Cross multiply
    854.15x = 1,288.32 × 752.70
  4. Step 4: Simplify right side
    854.15x = 969,718.46
  5. Step 5: Solve for x
    x = 969,718.46/854.15
  6. Step 6: Final answer
    x = 1,135.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.