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Finding the Fourth Proportional to 842.88, 1,256.88 and 821.04

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Solution

The fourth proportional to 842.88, 1,256.88 and 821.04 is: 1,224.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.88 : 1,256.88 = 821.04 : x
  2. Step 2: Convert to fraction form
    842.88/1,256.88 = 821.04/x
  3. Step 3: Cross multiply
    842.88x = 1,256.88 × 821.04
  4. Step 4: Simplify right side
    842.88x = 1,031,948.76
  5. Step 5: Solve for x
    x = 1,031,948.76/842.88
  6. Step 6: Final answer
    x = 1,224.31

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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.