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Finding the Fourth Proportional to 1,150.17, 1,725.41 and 369.91

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Solution

The fourth proportional to 1,150.17, 1,725.41 and 369.91 is: 554.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.17 : 1,725.41 = 369.91 : x
  2. Step 2: Convert to fraction form
    1,150.17/1,725.41 = 369.91/x
  3. Step 3: Cross multiply
    1,150.17x = 1,725.41 × 369.91
  4. Step 4: Simplify right side
    1,150.17x = 638,248.11
  5. Step 5: Solve for x
    x = 638,248.11/1,150.17
  6. Step 6: Final answer
    x = 554.92

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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.