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Finding the Fourth Proportional to 1,086.84, 1,497.54 and 736.92

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Solution

The fourth proportional to 1,086.84, 1,497.54 and 736.92 is: 1,015.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.84 : 1,497.54 = 736.92 : x
  2. Step 2: Convert to fraction form
    1,086.84/1,497.54 = 736.92/x
  3. Step 3: Cross multiply
    1,086.84x = 1,497.54 × 736.92
  4. Step 4: Simplify right side
    1,086.84x = 1,103,567.18
  5. Step 5: Solve for x
    x = 1,103,567.18/1,086.84
  6. Step 6: Final answer
    x = 1,015.39

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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.