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Finding the Fourth Proportional to 1,425.84, 1,967.66 and 787.85

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Solution

The fourth proportional to 1,425.84, 1,967.66 and 787.85 is: 1,087.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425.84 : 1,967.66 = 787.85 : x
  2. Step 2: Convert to fraction form
    1,425.84/1,967.66 = 787.85/x
  3. Step 3: Cross multiply
    1,425.84x = 1,967.66 × 787.85
  4. Step 4: Simplify right side
    1,425.84x = 1,550,207.15
  5. Step 5: Solve for x
    x = 1,550,207.15/1,425.84
  6. Step 6: Final answer
    x = 1,087.22

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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.