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Finding the Fourth Proportional to 880.52, 1,320.24 and 469.84

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Solution

The fourth proportional to 880.52, 1,320.24 and 469.84 is: 704.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.52 : 1,320.24 = 469.84 : x
  2. Step 2: Convert to fraction form
    880.52/1,320.24 = 469.84/x
  3. Step 3: Cross multiply
    880.52x = 1,320.24 × 469.84
  4. Step 4: Simplify right side
    880.52x = 620,301.56
  5. Step 5: Solve for x
    x = 620,301.56/880.52
  6. Step 6: Final answer
    x = 704.47

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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.