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Finding the Fourth Proportional to 616.13, 850.40 and 406.34

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Solution

The fourth proportional to 616.13, 850.40 and 406.34 is: 560.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.13 : 850.40 = 406.34 : x
  2. Step 2: Convert to fraction form
    616.13/850.40 = 406.34/x
  3. Step 3: Cross multiply
    616.13x = 850.40 × 406.34
  4. Step 4: Simplify right side
    616.13x = 345,549.20
  5. Step 5: Solve for x
    x = 345,549.20/616.13
  6. Step 6: Final answer
    x = 560.84

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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.