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Finding the Fourth Proportional to 624.45, 856.37 and 617.25

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Solution

The fourth proportional to 624.45, 856.37 and 617.25 is: 846.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.45 : 856.37 = 617.25 : x
  2. Step 2: Convert to fraction form
    624.45/856.37 = 617.25/x
  3. Step 3: Cross multiply
    624.45x = 856.37 × 617.25
  4. Step 4: Simplify right side
    624.45x = 528,591.30
  5. Step 5: Solve for x
    x = 528,591.30/624.45
  6. Step 6: Final answer
    x = 846.49

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.