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Finding the Fourth Proportional to 398.80, 595.07 and 396.52

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Solution

The fourth proportional to 398.80, 595.07 and 396.52 is: 591.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.80 : 595.07 = 396.52 : x
  2. Step 2: Convert to fraction form
    398.80/595.07 = 396.52/x
  3. Step 3: Cross multiply
    398.80x = 595.07 × 396.52
  4. Step 4: Simplify right side
    398.80x = 235,957.16
  5. Step 5: Solve for x
    x = 235,957.16/398.80
  6. Step 6: Final answer
    x = 591.67

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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.