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Finding the Fourth Proportional to 759.28, 1,134.76 and 554.28

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Solution

The fourth proportional to 759.28, 1,134.76 and 554.28 is: 828.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.28 : 1,134.76 = 554.28 : x
  2. Step 2: Convert to fraction form
    759.28/1,134.76 = 554.28/x
  3. Step 3: Cross multiply
    759.28x = 1,134.76 × 554.28
  4. Step 4: Simplify right side
    759.28x = 628,974.77
  5. Step 5: Solve for x
    x = 628,974.77/759.28
  6. Step 6: Final answer
    x = 828.38

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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.