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Finding the Fourth Proportional to 623.72, 861.09 and 403

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Solution

The fourth proportional to 623.72, 861.09 and 403 is: 556.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.72 : 861.09 = 403 : x
  2. Step 2: Convert to fraction form
    623.72/861.09 = 403/x
  3. Step 3: Cross multiply
    623.72x = 861.09 × 403
  4. Step 4: Simplify right side
    623.72x = 347,019.27
  5. Step 5: Solve for x
    x = 347,019.27/623.72
  6. Step 6: Final answer
    x = 556.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.