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Finding the Fourth Proportional to 879.48, 1,320.72 and 733.08

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Solution

The fourth proportional to 879.48, 1,320.72 and 733.08 is: 1,100.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.48 : 1,320.72 = 733.08 : x
  2. Step 2: Convert to fraction form
    879.48/1,320.72 = 733.08/x
  3. Step 3: Cross multiply
    879.48x = 1,320.72 × 733.08
  4. Step 4: Simplify right side
    879.48x = 968,193.42
  5. Step 5: Solve for x
    x = 968,193.42/879.48
  6. Step 6: Final answer
    x = 1,100.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.