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Finding the Fourth Proportional to 874.26, 1,206.44 and 500.98

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Solution

The fourth proportional to 874.26, 1,206.44 and 500.98 is: 691.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.26 : 1,206.44 = 500.98 : x
  2. Step 2: Convert to fraction form
    874.26/1,206.44 = 500.98/x
  3. Step 3: Cross multiply
    874.26x = 1,206.44 × 500.98
  4. Step 4: Simplify right side
    874.26x = 604,399.30
  5. Step 5: Solve for x
    x = 604,399.30/874.26
  6. Step 6: Final answer
    x = 691.33

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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.