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Finding the Fourth Proportional to 874.46, 1,205.80 and 594.74

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Solution

The fourth proportional to 874.46, 1,205.80 and 594.74 is: 820.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.46 : 1,205.80 = 594.74 : x
  2. Step 2: Convert to fraction form
    874.46/1,205.80 = 594.74/x
  3. Step 3: Cross multiply
    874.46x = 1,205.80 × 594.74
  4. Step 4: Simplify right side
    874.46x = 717,129.98
  5. Step 5: Solve for x
    x = 717,129.98/874.46
  6. Step 6: Final answer
    x = 820.09

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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.