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Finding the Fourth Proportional to 624.10, 861.36 and 414.28

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Solution

The fourth proportional to 624.10, 861.36 and 414.28 is: 571.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.10 : 861.36 = 414.28 : x
  2. Step 2: Convert to fraction form
    624.10/861.36 = 414.28/x
  3. Step 3: Cross multiply
    624.10x = 861.36 × 414.28
  4. Step 4: Simplify right side
    624.10x = 356,844.22
  5. Step 5: Solve for x
    x = 356,844.22/624.10
  6. Step 6: Final answer
    x = 571.77

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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.