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Finding the Fourth Proportional to 617.56, 920.52 and 580.12

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Solution

The fourth proportional to 617.56, 920.52 and 580.12 is: 864.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.56 : 920.52 = 580.12 : x
  2. Step 2: Convert to fraction form
    617.56/920.52 = 580.12/x
  3. Step 3: Cross multiply
    617.56x = 920.52 × 580.12
  4. Step 4: Simplify right side
    617.56x = 534,012.06
  5. Step 5: Solve for x
    x = 534,012.06/617.56
  6. Step 6: Final answer
    x = 864.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.