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Finding the Fourth Proportional to 874.17, 1,205.96 and 559.35

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Solution

The fourth proportional to 874.17, 1,205.96 and 559.35 is: 771.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.17 : 1,205.96 = 559.35 : x
  2. Step 2: Convert to fraction form
    874.17/1,205.96 = 559.35/x
  3. Step 3: Cross multiply
    874.17x = 1,205.96 × 559.35
  4. Step 4: Simplify right side
    874.17x = 674,550.93
  5. Step 5: Solve for x
    x = 674,550.93/874.17
  6. Step 6: Final answer
    x = 771.65

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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.