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Finding the Fourth Proportional to 1,356.61, 2,033.49 and 576.43

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Solution

The fourth proportional to 1,356.61, 2,033.49 and 576.43 is: 864.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.61 : 2,033.49 = 576.43 : x
  2. Step 2: Convert to fraction form
    1,356.61/2,033.49 = 576.43/x
  3. Step 3: Cross multiply
    1,356.61x = 2,033.49 × 576.43
  4. Step 4: Simplify right side
    1,356.61x = 1,172,164.64
  5. Step 5: Solve for x
    x = 1,172,164.64/1,356.61
  6. Step 6: Final answer
    x = 864.04

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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.