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Finding the Fourth Proportional to 874.77, 1,206.99 and 579.88

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Solution

The fourth proportional to 874.77, 1,206.99 and 579.88 is: 800.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.77 : 1,206.99 = 579.88 : x
  2. Step 2: Convert to fraction form
    874.77/1,206.99 = 579.88/x
  3. Step 3: Cross multiply
    874.77x = 1,206.99 × 579.88
  4. Step 4: Simplify right side
    874.77x = 699,909.36
  5. Step 5: Solve for x
    x = 699,909.36/874.77
  6. Step 6: Final answer
    x = 800.11

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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.