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Finding the Fourth Proportional to 1,159.49, 1,600.38 and 787.09

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Solution

The fourth proportional to 1,159.49, 1,600.38 and 787.09 is: 1,086.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.49 : 1,600.38 = 787.09 : x
  2. Step 2: Convert to fraction form
    1,159.49/1,600.38 = 787.09/x
  3. Step 3: Cross multiply
    1,159.49x = 1,600.38 × 787.09
  4. Step 4: Simplify right side
    1,159.49x = 1,259,643.09
  5. Step 5: Solve for x
    x = 1,259,643.09/1,159.49
  6. Step 6: Final answer
    x = 1,086.38

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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.