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Finding the Fourth Proportional to 402.12, 599.76 and 394.83

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Solution

The fourth proportional to 402.12, 599.76 and 394.83 is: 588.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.12 : 599.76 = 394.83 : x
  2. Step 2: Convert to fraction form
    402.12/599.76 = 394.83/x
  3. Step 3: Cross multiply
    402.12x = 599.76 × 394.83
  4. Step 4: Simplify right side
    402.12x = 236,803.24
  5. Step 5: Solve for x
    x = 236,803.24/402.12
  6. Step 6: Final answer
    x = 588.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.