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Finding the Fourth Proportional to 617.52, 927.63 and 374.19

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Solution

The fourth proportional to 617.52, 927.63 and 374.19 is: 562.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.52 : 927.63 = 374.19 : x
  2. Step 2: Convert to fraction form
    617.52/927.63 = 374.19/x
  3. Step 3: Cross multiply
    617.52x = 927.63 × 374.19
  4. Step 4: Simplify right side
    617.52x = 347,109.87
  5. Step 5: Solve for x
    x = 347,109.87/617.52
  6. Step 6: Final answer
    x = 562.10

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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.