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Finding the Fourth Proportional to 1,284.20, 1,772.58 and 787.16

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Solution

The fourth proportional to 1,284.20, 1,772.58 and 787.16 is: 1,086.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.20 : 1,772.58 = 787.16 : x
  2. Step 2: Convert to fraction form
    1,284.20/1,772.58 = 787.16/x
  3. Step 3: Cross multiply
    1,284.20x = 1,772.58 × 787.16
  4. Step 4: Simplify right side
    1,284.20x = 1,395,304.07
  5. Step 5: Solve for x
    x = 1,395,304.07/1,284.20
  6. Step 6: Final answer
    x = 1,086.52

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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.