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Finding the Fourth Proportional to 398.57, 596.84 and 317.57

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Solution

The fourth proportional to 398.57, 596.84 and 317.57 is: 475.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.57 : 596.84 = 317.57 : x
  2. Step 2: Convert to fraction form
    398.57/596.84 = 317.57/x
  3. Step 3: Cross multiply
    398.57x = 596.84 × 317.57
  4. Step 4: Simplify right side
    398.57x = 189,533.91
  5. Step 5: Solve for x
    x = 189,533.91/398.57
  6. Step 6: Final answer
    x = 475.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.