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Finding the Fourth Proportional to 624.12, 861.21 and 437.82

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Solution

The fourth proportional to 624.12, 861.21 and 437.82 is: 604.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.12 : 861.21 = 437.82 : x
  2. Step 2: Convert to fraction form
    624.12/861.21 = 437.82/x
  3. Step 3: Cross multiply
    624.12x = 861.21 × 437.82
  4. Step 4: Simplify right side
    624.12x = 377,054.96
  5. Step 5: Solve for x
    x = 377,054.96/624.12
  6. Step 6: Final answer
    x = 604.14

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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.