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Finding the Fourth Proportional to 591.43, 885.70 and 398.47

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Solution

The fourth proportional to 591.43, 885.70 and 398.47 is: 596.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.43 : 885.70 = 398.47 : x
  2. Step 2: Convert to fraction form
    591.43/885.70 = 398.47/x
  3. Step 3: Cross multiply
    591.43x = 885.70 × 398.47
  4. Step 4: Simplify right side
    591.43x = 352,919.45
  5. Step 5: Solve for x
    x = 352,919.45/591.43
  6. Step 6: Final answer
    x = 596.73

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1.5x scale

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.