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Finding the Fourth Proportional to 616.54, 849.84 and 419.72

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Solution

The fourth proportional to 616.54, 849.84 and 419.72 is: 578.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.54 : 849.84 = 419.72 : x
  2. Step 2: Convert to fraction form
    616.54/849.84 = 419.72/x
  3. Step 3: Cross multiply
    616.54x = 849.84 × 419.72
  4. Step 4: Simplify right side
    616.54x = 356,694.84
  5. Step 5: Solve for x
    x = 356,694.84/616.54
  6. Step 6: Final answer
    x = 578.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.