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Finding the Fourth Proportional to 879.36, 1,312.20 and 801.77

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Solution

The fourth proportional to 879.36, 1,312.20 and 801.77 is: 1,196.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.36 : 1,312.20 = 801.77 : x
  2. Step 2: Convert to fraction form
    879.36/1,312.20 = 801.77/x
  3. Step 3: Cross multiply
    879.36x = 1,312.20 × 801.77
  4. Step 4: Simplify right side
    879.36x = 1,052,076.03
  5. Step 5: Solve for x
    x = 1,052,076.03/879.36
  6. Step 6: Final answer
    x = 1,196.42

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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.