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Finding the Fourth Proportional to 537.57, 804.47 and 372.24

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Solution

The fourth proportional to 537.57, 804.47 and 372.24 is: 557.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.57 : 804.47 = 372.24 : x
  2. Step 2: Convert to fraction form
    537.57/804.47 = 372.24/x
  3. Step 3: Cross multiply
    537.57x = 804.47 × 372.24
  4. Step 4: Simplify right side
    537.57x = 299,454.05
  5. Step 5: Solve for x
    x = 299,454.05/537.57
  6. Step 6: Final answer
    x = 557.05

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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.