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Finding the Fourth Proportional to 617.83, 927.21 and 387.08

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Solution

The fourth proportional to 617.83, 927.21 and 387.08 is: 580.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.83 : 927.21 = 387.08 : x
  2. Step 2: Convert to fraction form
    617.83/927.21 = 387.08/x
  3. Step 3: Cross multiply
    617.83x = 927.21 × 387.08
  4. Step 4: Simplify right side
    617.83x = 358,904.74
  5. Step 5: Solve for x
    x = 358,904.74/617.83
  6. Step 6: Final answer
    x = 580.91

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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.