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Finding the Fourth Proportional to 1,284.57, 1,772.87 and 787.28

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Solution

The fourth proportional to 1,284.57, 1,772.87 and 787.28 is: 1,086.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.57 : 1,772.87 = 787.28 : x
  2. Step 2: Convert to fraction form
    1,284.57/1,772.87 = 787.28/x
  3. Step 3: Cross multiply
    1,284.57x = 1,772.87 × 787.28
  4. Step 4: Simplify right side
    1,284.57x = 1,395,732.29
  5. Step 5: Solve for x
    x = 1,395,732.29/1,284.57
  6. Step 6: Final answer
    x = 1,086.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.