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Finding the Fourth Proportional to 840.26, 1,159.44 and 467.22

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Solution

The fourth proportional to 840.26, 1,159.44 and 467.22 is: 644.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.26 : 1,159.44 = 467.22 : x
  2. Step 2: Convert to fraction form
    840.26/1,159.44 = 467.22/x
  3. Step 3: Cross multiply
    840.26x = 1,159.44 × 467.22
  4. Step 4: Simplify right side
    840.26x = 541,713.56
  5. Step 5: Solve for x
    x = 541,713.56/840.26
  6. Step 6: Final answer
    x = 644.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.