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Finding the Fourth Proportional to 398.78, 595.73 and 317.71

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Solution

The fourth proportional to 398.78, 595.73 and 317.71 is: 474.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.78 : 595.73 = 317.71 : x
  2. Step 2: Convert to fraction form
    398.78/595.73 = 317.71/x
  3. Step 3: Cross multiply
    398.78x = 595.73 × 317.71
  4. Step 4: Simplify right side
    398.78x = 189,269.38
  5. Step 5: Solve for x
    x = 189,269.38/398.78
  6. Step 6: Final answer
    x = 474.62

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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.