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Finding the Fourth Proportional to 616.97, 850.24 and 442.01

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Solution

The fourth proportional to 616.97, 850.24 and 442.01 is: 609.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.97 : 850.24 = 442.01 : x
  2. Step 2: Convert to fraction form
    616.97/850.24 = 442.01/x
  3. Step 3: Cross multiply
    616.97x = 850.24 × 442.01
  4. Step 4: Simplify right side
    616.97x = 375,814.58
  5. Step 5: Solve for x
    x = 375,814.58/616.97
  6. Step 6: Final answer
    x = 609.13

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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.