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Finding the Fourth Proportional to 600.09, 826.77 and 475.71

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Solution

The fourth proportional to 600.09, 826.77 and 475.71 is: 655.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.09 : 826.77 = 475.71 : x
  2. Step 2: Convert to fraction form
    600.09/826.77 = 475.71/x
  3. Step 3: Cross multiply
    600.09x = 826.77 × 475.71
  4. Step 4: Simplify right side
    600.09x = 393,302.76
  5. Step 5: Solve for x
    x = 393,302.76/600.09
  6. Step 6: Final answer
    x = 655.41

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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.