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Finding the Fourth Proportional to 1,143.32, 1,712.82 and 564.44

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Solution

The fourth proportional to 1,143.32, 1,712.82 and 564.44 is: 845.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.32 : 1,712.82 = 564.44 : x
  2. Step 2: Convert to fraction form
    1,143.32/1,712.82 = 564.44/x
  3. Step 3: Cross multiply
    1,143.32x = 1,712.82 × 564.44
  4. Step 4: Simplify right side
    1,143.32x = 966,784.12
  5. Step 5: Solve for x
    x = 966,784.12/1,143.32
  6. Step 6: Final answer
    x = 845.59

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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.