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Finding the Fourth Proportional to 623.82, 861 and 414.01

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Solution

The fourth proportional to 623.82, 861 and 414.01 is: 571.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.82 : 861 = 414.01 : x
  2. Step 2: Convert to fraction form
    623.82/861 = 414.01/x
  3. Step 3: Cross multiply
    623.82x = 861 × 414.01
  4. Step 4: Simplify right side
    623.82x = 356,462.61
  5. Step 5: Solve for x
    x = 356,462.61/623.82
  6. Step 6: Final answer
    x = 571.42

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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.