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Finding the Fourth Proportional to 569.46, 853.87 and 313.14

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Solution

The fourth proportional to 569.46, 853.87 and 313.14 is: 469.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.46 : 853.87 = 313.14 : x
  2. Step 2: Convert to fraction form
    569.46/853.87 = 313.14/x
  3. Step 3: Cross multiply
    569.46x = 853.87 × 313.14
  4. Step 4: Simplify right side
    569.46x = 267,380.85
  5. Step 5: Solve for x
    x = 267,380.85/569.46
  6. Step 6: Final answer
    x = 469.53

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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.