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Finding the Fourth Proportional to 623.40, 861.06 and 609.96

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Solution

The fourth proportional to 623.40, 861.06 and 609.96 is: 842.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.40 : 861.06 = 609.96 : x
  2. Step 2: Convert to fraction form
    623.40/861.06 = 609.96/x
  3. Step 3: Cross multiply
    623.40x = 861.06 × 609.96
  4. Step 4: Simplify right side
    623.40x = 525,212.16
  5. Step 5: Solve for x
    x = 525,212.16/623.40
  6. Step 6: Final answer
    x = 842.50

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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.