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Finding the Fourth Proportional to 1,126.90, 1,552.93 and 811.61

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Solution

The fourth proportional to 1,126.90, 1,552.93 and 811.61 is: 1,118.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.90 : 1,552.93 = 811.61 : x
  2. Step 2: Convert to fraction form
    1,126.90/1,552.93 = 811.61/x
  3. Step 3: Cross multiply
    1,126.90x = 1,552.93 × 811.61
  4. Step 4: Simplify right side
    1,126.90x = 1,260,369.46
  5. Step 5: Solve for x
    x = 1,260,369.46/1,126.90
  6. Step 6: Final answer
    x = 1,118.44

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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.