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Finding the Fourth Proportional to 759.68, 1,139.70 and 272.78

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Solution

The fourth proportional to 759.68, 1,139.70 and 272.78 is: 409.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.68 : 1,139.70 = 272.78 : x
  2. Step 2: Convert to fraction form
    759.68/1,139.70 = 272.78/x
  3. Step 3: Cross multiply
    759.68x = 1,139.70 × 272.78
  4. Step 4: Simplify right side
    759.68x = 310,887.37
  5. Step 5: Solve for x
    x = 310,887.37/759.68
  6. Step 6: Final answer
    x = 409.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.