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Finding the Fourth Proportional to 401.79, 598.43 and 399.83

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Solution

The fourth proportional to 401.79, 598.43 and 399.83 is: 595.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.79 : 598.43 = 399.83 : x
  2. Step 2: Convert to fraction form
    401.79/598.43 = 399.83/x
  3. Step 3: Cross multiply
    401.79x = 598.43 × 399.83
  4. Step 4: Simplify right side
    401.79x = 239,265.28
  5. Step 5: Solve for x
    x = 239,265.28/401.79
  6. Step 6: Final answer
    x = 595.50

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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.