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Finding the Fourth Proportional to 600.94, 828.78 and 414.13

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Solution

The fourth proportional to 600.94, 828.78 and 414.13 is: 571.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.94 : 828.78 = 414.13 : x
  2. Step 2: Convert to fraction form
    600.94/828.78 = 414.13/x
  3. Step 3: Cross multiply
    600.94x = 828.78 × 414.13
  4. Step 4: Simplify right side
    600.94x = 343,222.66
  5. Step 5: Solve for x
    x = 343,222.66/600.94
  6. Step 6: Final answer
    x = 571.14

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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.