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Finding the Fourth Proportional to 884.52, 1,317.16 and 874.83

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Solution

The fourth proportional to 884.52, 1,317.16 and 874.83 is: 1,302.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.52 : 1,317.16 = 874.83 : x
  2. Step 2: Convert to fraction form
    884.52/1,317.16 = 874.83/x
  3. Step 3: Cross multiply
    884.52x = 1,317.16 × 874.83
  4. Step 4: Simplify right side
    884.52x = 1,152,288.90
  5. Step 5: Solve for x
    x = 1,152,288.90/884.52
  6. Step 6: Final answer
    x = 1,302.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.