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Finding the Fourth Proportional to 600.12, 826.38 and 556.56

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Solution

The fourth proportional to 600.12, 826.38 and 556.56 is: 766.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.12 : 826.38 = 556.56 : x
  2. Step 2: Convert to fraction form
    600.12/826.38 = 556.56/x
  3. Step 3: Cross multiply
    600.12x = 826.38 × 556.56
  4. Step 4: Simplify right side
    600.12x = 459,930.05
  5. Step 5: Solve for x
    x = 459,930.05/600.12
  6. Step 6: Final answer
    x = 766.40

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1.5x scale

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.