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Finding the Fourth Proportional to 847.36, 1,159.29 and 843.72

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Solution

The fourth proportional to 847.36, 1,159.29 and 843.72 is: 1,154.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.36 : 1,159.29 = 843.72 : x
  2. Step 2: Convert to fraction form
    847.36/1,159.29 = 843.72/x
  3. Step 3: Cross multiply
    847.36x = 1,159.29 × 843.72
  4. Step 4: Simplify right side
    847.36x = 978,116.16
  5. Step 5: Solve for x
    x = 978,116.16/847.36
  6. Step 6: Final answer
    x = 1,154.31

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.