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Finding the Fourth Proportional to 880.47, 1,323.14 and 827.01

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Solution

The fourth proportional to 880.47, 1,323.14 and 827.01 is: 1,242.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.47 : 1,323.14 = 827.01 : x
  2. Step 2: Convert to fraction form
    880.47/1,323.14 = 827.01/x
  3. Step 3: Cross multiply
    880.47x = 1,323.14 × 827.01
  4. Step 4: Simplify right side
    880.47x = 1,094,245.88
  5. Step 5: Solve for x
    x = 1,094,245.88/880.47
  6. Step 6: Final answer
    x = 1,242.80

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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.