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Finding the Fourth Proportional to 616.26, 920.49 and 580.73

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Solution

The fourth proportional to 616.26, 920.49 and 580.73 is: 867.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.26 : 920.49 = 580.73 : x
  2. Step 2: Convert to fraction form
    616.26/920.49 = 580.73/x
  3. Step 3: Cross multiply
    616.26x = 920.49 × 580.73
  4. Step 4: Simplify right side
    616.26x = 534,551.56
  5. Step 5: Solve for x
    x = 534,551.56/616.26
  6. Step 6: Final answer
    x = 867.41

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1.5x scale

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.