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Finding the Fourth Proportional to 581.78, 871.19 and 564.47

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Solution

The fourth proportional to 581.78, 871.19 and 564.47 is: 845.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.78 : 871.19 = 564.47 : x
  2. Step 2: Convert to fraction form
    581.78/871.19 = 564.47/x
  3. Step 3: Cross multiply
    581.78x = 871.19 × 564.47
  4. Step 4: Simplify right side
    581.78x = 491,758.82
  5. Step 5: Solve for x
    x = 491,758.82/581.78
  6. Step 6: Final answer
    x = 845.26

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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.