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Finding the Fourth Proportional to 1,280.53, 1,922.28 and 864.46

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Solution

The fourth proportional to 1,280.53, 1,922.28 and 864.46 is: 1,297.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.53 : 1,922.28 = 864.46 : x
  2. Step 2: Convert to fraction form
    1,280.53/1,922.28 = 864.46/x
  3. Step 3: Cross multiply
    1,280.53x = 1,922.28 × 864.46
  4. Step 4: Simplify right side
    1,280.53x = 1,661,734.17
  5. Step 5: Solve for x
    x = 1,661,734.17/1,280.53
  6. Step 6: Final answer
    x = 1,297.69

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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.