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Finding the Fourth Proportional to 1,228.38, 1,841.52 and 534.52

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Solution

The fourth proportional to 1,228.38, 1,841.52 and 534.52 is: 801.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.38 : 1,841.52 = 534.52 : x
  2. Step 2: Convert to fraction form
    1,228.38/1,841.52 = 534.52/x
  3. Step 3: Cross multiply
    1,228.38x = 1,841.52 × 534.52
  4. Step 4: Simplify right side
    1,228.38x = 984,320.06
  5. Step 5: Solve for x
    x = 984,320.06/1,228.38
  6. Step 6: Final answer
    x = 801.32

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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.