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Finding the Fourth Proportional to 600, 828.08 and 393.12

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Solution

The fourth proportional to 600, 828.08 and 393.12 is: 542.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    600 : 828.08 = 393.12 : x
  2. Step 2: Convert to fraction form
    600/828.08 = 393.12/x
  3. Step 3: Cross multiply
    600x = 828.08 × 393.12
  4. Step 4: Simplify right side
    600x = 325,534.81
  5. Step 5: Solve for x
    x = 325,534.81/600
  6. Step 6: Final answer
    x = 542.56

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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.