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Finding the Fourth Proportional to 886.21, 1,329.14 and 842.31

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Solution

The fourth proportional to 886.21, 1,329.14 and 842.31 is: 1,263.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.21 : 1,329.14 = 842.31 : x
  2. Step 2: Convert to fraction form
    886.21/1,329.14 = 842.31/x
  3. Step 3: Cross multiply
    886.21x = 1,329.14 × 842.31
  4. Step 4: Simplify right side
    886.21x = 1,119,547.91
  5. Step 5: Solve for x
    x = 1,119,547.91/886.21
  6. Step 6: Final answer
    x = 1,263.30

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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.