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Finding the Fourth Proportional to 874.26, 1,317.66 and 753.96

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Solution

The fourth proportional to 874.26, 1,317.66 and 753.96 is: 1,136.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.26 : 1,317.66 = 753.96 : x
  2. Step 2: Convert to fraction form
    874.26/1,317.66 = 753.96/x
  3. Step 3: Cross multiply
    874.26x = 1,317.66 × 753.96
  4. Step 4: Simplify right side
    874.26x = 993,462.93
  5. Step 5: Solve for x
    x = 993,462.93/874.26
  6. Step 6: Final answer
    x = 1,136.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.