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Finding the Fourth Proportional to 565.91, 847.34 and 400.47

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Solution

The fourth proportional to 565.91, 847.34 and 400.47 is: 599.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.91 : 847.34 = 400.47 : x
  2. Step 2: Convert to fraction form
    565.91/847.34 = 400.47/x
  3. Step 3: Cross multiply
    565.91x = 847.34 × 400.47
  4. Step 4: Simplify right side
    565.91x = 339,335.25
  5. Step 5: Solve for x
    x = 339,335.25/565.91
  6. Step 6: Final answer
    x = 599.63

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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.