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Finding the Fourth Proportional to 1,156.94, 1,726.99 and 1,018.56

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Solution

The fourth proportional to 1,156.94, 1,726.99 and 1,018.56 is: 1,520.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.94 : 1,726.99 = 1,018.56 : x
  2. Step 2: Convert to fraction form
    1,156.94/1,726.99 = 1,018.56/x
  3. Step 3: Cross multiply
    1,156.94x = 1,726.99 × 1,018.56
  4. Step 4: Simplify right side
    1,156.94x = 1,759,042.93
  5. Step 5: Solve for x
    x = 1,759,042.93/1,156.94
  6. Step 6: Final answer
    x = 1,520.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.