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Finding the Fourth Proportional to 840.20, 1,159.40 and 467.16

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Solution

The fourth proportional to 840.20, 1,159.40 and 467.16 is: 644.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.20 : 1,159.40 = 467.16 : x
  2. Step 2: Convert to fraction form
    840.20/1,159.40 = 467.16/x
  3. Step 3: Cross multiply
    840.20x = 1,159.40 × 467.16
  4. Step 4: Simplify right side
    840.20x = 541,625.30
  5. Step 5: Solve for x
    x = 541,625.30/840.20
  6. Step 6: Final answer
    x = 644.64

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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.