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Finding the Fourth Proportional to 616.40, 850.12 and 476.56

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Solution

The fourth proportional to 616.40, 850.12 and 476.56 is: 657.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.40 : 850.12 = 476.56 : x
  2. Step 2: Convert to fraction form
    616.40/850.12 = 476.56/x
  3. Step 3: Cross multiply
    616.40x = 850.12 × 476.56
  4. Step 4: Simplify right side
    616.40x = 405,133.19
  5. Step 5: Solve for x
    x = 405,133.19/616.40
  6. Step 6: Final answer
    x = 657.26

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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.