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Finding the Fourth Proportional to 874.07, 1,205.10 and 637.82

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Solution

The fourth proportional to 874.07, 1,205.10 and 637.82 is: 879.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.07 : 1,205.10 = 637.82 : x
  2. Step 2: Convert to fraction form
    874.07/1,205.10 = 637.82/x
  3. Step 3: Cross multiply
    874.07x = 1,205.10 × 637.82
  4. Step 4: Simplify right side
    874.07x = 768,630.86
  5. Step 5: Solve for x
    x = 768,630.86/874.07
  6. Step 6: Final answer
    x = 879.37

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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.