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Finding the Fourth Proportional to 581.06, 796.07 and 559.19

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Solution

The fourth proportional to 581.06, 796.07 and 559.19 is: 766.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.06 : 796.07 = 559.19 : x
  2. Step 2: Convert to fraction form
    581.06/796.07 = 559.19/x
  3. Step 3: Cross multiply
    581.06x = 796.07 × 559.19
  4. Step 4: Simplify right side
    581.06x = 445,147.61
  5. Step 5: Solve for x
    x = 445,147.61/581.06
  6. Step 6: Final answer
    x = 766.10

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.