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Finding the Fourth Proportional to 840.12, 1,159.26 and 467.08

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Solution

The fourth proportional to 840.12, 1,159.26 and 467.08 is: 644.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.12 : 1,159.26 = 467.08 : x
  2. Step 2: Convert to fraction form
    840.12/1,159.26 = 467.08/x
  3. Step 3: Cross multiply
    840.12x = 1,159.26 × 467.08
  4. Step 4: Simplify right side
    840.12x = 541,467.16
  5. Step 5: Solve for x
    x = 541,467.16/840.12
  6. Step 6: Final answer
    x = 644.51

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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.