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Finding the Fourth Proportional to 600.56, 829.01 and 469.61

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Solution

The fourth proportional to 600.56, 829.01 and 469.61 is: 648.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.56 : 829.01 = 469.61 : x
  2. Step 2: Convert to fraction form
    600.56/829.01 = 469.61/x
  3. Step 3: Cross multiply
    600.56x = 829.01 × 469.61
  4. Step 4: Simplify right side
    600.56x = 389,311.39
  5. Step 5: Solve for x
    x = 389,311.39/600.56
  6. Step 6: Final answer
    x = 648.25

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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.