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Finding the Fourth Proportional to 840.97, 1,260.51 and 408.43

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Solution

The fourth proportional to 840.97, 1,260.51 and 408.43 is: 612.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.97 : 1,260.51 = 408.43 : x
  2. Step 2: Convert to fraction form
    840.97/1,260.51 = 408.43/x
  3. Step 3: Cross multiply
    840.97x = 1,260.51 × 408.43
  4. Step 4: Simplify right side
    840.97x = 514,830.10
  5. Step 5: Solve for x
    x = 514,830.10/840.97
  6. Step 6: Final answer
    x = 612.19

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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.