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Finding the Fourth Proportional to 1,088.86, 1,497.14 and 1,081.84

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Solution

The fourth proportional to 1,088.86, 1,497.14 and 1,081.84 is: 1,487.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.86 : 1,497.14 = 1,081.84 : x
  2. Step 2: Convert to fraction form
    1,088.86/1,497.14 = 1,081.84/x
  3. Step 3: Cross multiply
    1,088.86x = 1,497.14 × 1,081.84
  4. Step 4: Simplify right side
    1,088.86x = 1,619,665.94
  5. Step 5: Solve for x
    x = 1,619,665.94/1,088.86
  6. Step 6: Final answer
    x = 1,487.49

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.