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Finding the Fourth Proportional to 840.13, 1,259.94 and 581.79

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Solution

The fourth proportional to 840.13, 1,259.94 and 581.79 is: 872.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.13 : 1,259.94 = 581.79 : x
  2. Step 2: Convert to fraction form
    840.13/1,259.94 = 581.79/x
  3. Step 3: Cross multiply
    840.13x = 1,259.94 × 581.79
  4. Step 4: Simplify right side
    840.13x = 733,020.49
  5. Step 5: Solve for x
    x = 733,020.49/840.13
  6. Step 6: Final answer
    x = 872.51

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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.