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Finding the Fourth Proportional to 600.86, 828.80 and 460.74

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Solution

The fourth proportional to 600.86, 828.80 and 460.74 is: 635.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.86 : 828.80 = 460.74 : x
  2. Step 2: Convert to fraction form
    600.86/828.80 = 460.74/x
  3. Step 3: Cross multiply
    600.86x = 828.80 × 460.74
  4. Step 4: Simplify right side
    600.86x = 381,859.01
  5. Step 5: Solve for x
    x = 381,859.01/600.86
  6. Step 6: Final answer
    x = 635.53

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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.