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Finding the Fourth Proportional to 600.74, 828.90 and 461.02

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Solution

The fourth proportional to 600.74, 828.90 and 461.02 is: 636.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.74 : 828.90 = 461.02 : x
  2. Step 2: Convert to fraction form
    600.74/828.90 = 461.02/x
  3. Step 3: Cross multiply
    600.74x = 828.90 × 461.02
  4. Step 4: Simplify right side
    600.74x = 382,139.48
  5. Step 5: Solve for x
    x = 382,139.48/600.74
  6. Step 6: Final answer
    x = 636.11

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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.