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Finding the Fourth Proportional to 569.14, 847.98 and 531.88

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Solution

The fourth proportional to 569.14, 847.98 and 531.88 is: 792.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.14 : 847.98 = 531.88 : x
  2. Step 2: Convert to fraction form
    569.14/847.98 = 531.88/x
  3. Step 3: Cross multiply
    569.14x = 847.98 × 531.88
  4. Step 4: Simplify right side
    569.14x = 451,023.60
  5. Step 5: Solve for x
    x = 451,023.60/569.14
  6. Step 6: Final answer
    x = 792.47

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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.