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Finding the Fourth Proportional to 1,141.54, 1,573.99 and 787.65

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Solution

The fourth proportional to 1,141.54, 1,573.99 and 787.65 is: 1,086.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.54 : 1,573.99 = 787.65 : x
  2. Step 2: Convert to fraction form
    1,141.54/1,573.99 = 787.65/x
  3. Step 3: Cross multiply
    1,141.54x = 1,573.99 × 787.65
  4. Step 4: Simplify right side
    1,141.54x = 1,239,753.22
  5. Step 5: Solve for x
    x = 1,239,753.22/1,141.54
  6. Step 6: Final answer
    x = 1,086.04

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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.