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Finding the Fourth Proportional to 1,151.76, 1,728.24 and 372

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Solution

The fourth proportional to 1,151.76, 1,728.24 and 372 is: 558.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.76 : 1,728.24 = 372 : x
  2. Step 2: Convert to fraction form
    1,151.76/1,728.24 = 372/x
  3. Step 3: Cross multiply
    1,151.76x = 1,728.24 × 372
  4. Step 4: Simplify right side
    1,151.76x = 642,905.28
  5. Step 5: Solve for x
    x = 642,905.28/1,151.76
  6. Step 6: Final answer
    x = 558.19

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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.