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Finding the Fourth Proportional to 616.36, 851.28 and 419.53

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Solution

The fourth proportional to 616.36, 851.28 and 419.53 is: 579.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.36 : 851.28 = 419.53 : x
  2. Step 2: Convert to fraction form
    616.36/851.28 = 419.53/x
  3. Step 3: Cross multiply
    616.36x = 851.28 × 419.53
  4. Step 4: Simplify right side
    616.36x = 357,135.39
  5. Step 5: Solve for x
    x = 357,135.39/616.36
  6. Step 6: Final answer
    x = 579.43

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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.