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Finding the Fourth Proportional to 398.62, 595.25 and 375.84

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Solution

The fourth proportional to 398.62, 595.25 and 375.84 is: 561.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.62 : 595.25 = 375.84 : x
  2. Step 2: Convert to fraction form
    398.62/595.25 = 375.84/x
  3. Step 3: Cross multiply
    398.62x = 595.25 × 375.84
  4. Step 4: Simplify right side
    398.62x = 223,718.29
  5. Step 5: Solve for x
    x = 223,718.29/398.62
  6. Step 6: Final answer
    x = 561.23

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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.