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Finding the Fourth Proportional to 624.56, 865.44 and 617.00

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Solution

The fourth proportional to 624.56, 865.44 and 617.00 is: 854.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.56 : 865.44 = 617.00 : x
  2. Step 2: Convert to fraction form
    624.56/865.44 = 617.00/x
  3. Step 3: Cross multiply
    624.56x = 865.44 × 617.00
  4. Step 4: Simplify right side
    624.56x = 533,972.15
  5. Step 5: Solve for x
    x = 533,972.15/624.56
  6. Step 6: Final answer
    x = 854.96

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.