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Finding the Fourth Proportional to 600.78, 826.67 and 585.53

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Solution

The fourth proportional to 600.78, 826.67 and 585.53 is: 805.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.78 : 826.67 = 585.53 : x
  2. Step 2: Convert to fraction form
    600.78/826.67 = 585.53/x
  3. Step 3: Cross multiply
    600.78x = 826.67 × 585.53
  4. Step 4: Simplify right side
    600.78x = 484,040.52
  5. Step 5: Solve for x
    x = 484,040.52/600.78
  6. Step 6: Final answer
    x = 805.68

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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.