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Finding the Fourth Proportional to 819.12, 1,128.80 and 632.24

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Solution

The fourth proportional to 819.12, 1,128.80 and 632.24 is: 871.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.12 : 1,128.80 = 632.24 : x
  2. Step 2: Convert to fraction form
    819.12/1,128.80 = 632.24/x
  3. Step 3: Cross multiply
    819.12x = 1,128.80 × 632.24
  4. Step 4: Simplify right side
    819.12x = 713,672.51
  5. Step 5: Solve for x
    x = 713,672.51/819.12
  6. Step 6: Final answer
    x = 871.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.