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Finding the Fourth Proportional to 399.94, 595.57 and 398.50

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Solution

The fourth proportional to 399.94, 595.57 and 398.50 is: 593.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.94 : 595.57 = 398.50 : x
  2. Step 2: Convert to fraction form
    399.94/595.57 = 398.50/x
  3. Step 3: Cross multiply
    399.94x = 595.57 × 398.50
  4. Step 4: Simplify right side
    399.94x = 237,332.65
  5. Step 5: Solve for x
    x = 237,332.65/399.94
  6. Step 6: Final answer
    x = 593.42

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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.