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Finding the Fourth Proportional to 616.56, 920.49 and 559.16

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Solution

The fourth proportional to 616.56, 920.49 and 559.16 is: 834.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.56 : 920.49 = 559.16 : x
  2. Step 2: Convert to fraction form
    616.56/920.49 = 559.16/x
  3. Step 3: Cross multiply
    616.56x = 920.49 × 559.16
  4. Step 4: Simplify right side
    616.56x = 514,701.19
  5. Step 5: Solve for x
    x = 514,701.19/616.56
  6. Step 6: Final answer
    x = 834.79

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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.