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Finding the Fourth Proportional to 880.35, 1,212.93 and 581.06

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Solution

The fourth proportional to 880.35, 1,212.93 and 581.06 is: 800.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.35 : 1,212.93 = 581.06 : x
  2. Step 2: Convert to fraction form
    880.35/1,212.93 = 581.06/x
  3. Step 3: Cross multiply
    880.35x = 1,212.93 × 581.06
  4. Step 4: Simplify right side
    880.35x = 704,786.95
  5. Step 5: Solve for x
    x = 704,786.95/880.35
  6. Step 6: Final answer
    x = 800.58

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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.