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Finding the Fourth Proportional to 623.23, 861.14 and 540.20

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Solution

The fourth proportional to 623.23, 861.14 and 540.20 is: 746.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.23 : 861.14 = 540.20 : x
  2. Step 2: Convert to fraction form
    623.23/861.14 = 540.20/x
  3. Step 3: Cross multiply
    623.23x = 861.14 × 540.20
  4. Step 4: Simplify right side
    623.23x = 465,191.33
  5. Step 5: Solve for x
    x = 465,191.33/623.23
  6. Step 6: Final answer
    x = 746.42

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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.