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Finding the Fourth Proportional to 616.64, 850.14 and 419.82

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Solution

The fourth proportional to 616.64, 850.14 and 419.82 is: 578.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.64 : 850.14 = 419.82 : x
  2. Step 2: Convert to fraction form
    616.64/850.14 = 419.82/x
  3. Step 3: Cross multiply
    616.64x = 850.14 × 419.82
  4. Step 4: Simplify right side
    616.64x = 356,905.77
  5. Step 5: Solve for x
    x = 356,905.77/616.64
  6. Step 6: Final answer
    x = 578.79

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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.