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Finding the Fourth Proportional to 891.36, 1,339.20 and 567.36

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Solution

The fourth proportional to 891.36, 1,339.20 and 567.36 is: 852.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.36 : 1,339.20 = 567.36 : x
  2. Step 2: Convert to fraction form
    891.36/1,339.20 = 567.36/x
  3. Step 3: Cross multiply
    891.36x = 1,339.20 × 567.36
  4. Step 4: Simplify right side
    891.36x = 759,808.51
  5. Step 5: Solve for x
    x = 759,808.51/891.36
  6. Step 6: Final answer
    x = 852.41

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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.