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Finding the Fourth Proportional to 874.59, 1,206.75 and 559.73

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Solution

The fourth proportional to 874.59, 1,206.75 and 559.73 is: 772.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.59 : 1,206.75 = 559.73 : x
  2. Step 2: Convert to fraction form
    874.59/1,206.75 = 559.73/x
  3. Step 3: Cross multiply
    874.59x = 1,206.75 × 559.73
  4. Step 4: Simplify right side
    874.59x = 675,454.18
  5. Step 5: Solve for x
    x = 675,454.18/874.59
  6. Step 6: Final answer
    x = 772.31

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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.