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Finding the Fourth Proportional to 1,284.64, 1,927.20 and 822.88

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Solution

The fourth proportional to 1,284.64, 1,927.20 and 822.88 is: 1,234.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.64 : 1,927.20 = 822.88 : x
  2. Step 2: Convert to fraction form
    1,284.64/1,927.20 = 822.88/x
  3. Step 3: Cross multiply
    1,284.64x = 1,927.20 × 822.88
  4. Step 4: Simplify right side
    1,284.64x = 1,585,854.34
  5. Step 5: Solve for x
    x = 1,585,854.34/1,284.64
  6. Step 6: Final answer
    x = 1,234.47

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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.