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Finding the Fourth Proportional to 402.79, 599.91 and 400.83

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Solution

The fourth proportional to 402.79, 599.91 and 400.83 is: 596.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.79 : 599.91 = 400.83 : x
  2. Step 2: Convert to fraction form
    402.79/599.91 = 400.83/x
  3. Step 3: Cross multiply
    402.79x = 599.91 × 400.83
  4. Step 4: Simplify right side
    402.79x = 240,461.93
  5. Step 5: Solve for x
    x = 240,461.93/402.79
  6. Step 6: Final answer
    x = 596.99

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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.