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Finding the Fourth Proportional to 1,087.97, 1,502.65 and 716.61

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Solution

The fourth proportional to 1,087.97, 1,502.65 and 716.61 is: 989.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.97 : 1,502.65 = 716.61 : x
  2. Step 2: Convert to fraction form
    1,087.97/1,502.65 = 716.61/x
  3. Step 3: Cross multiply
    1,087.97x = 1,502.65 × 716.61
  4. Step 4: Simplify right side
    1,087.97x = 1,076,814.02
  5. Step 5: Solve for x
    x = 1,076,814.02/1,087.97
  6. Step 6: Final answer
    x = 989.75

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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.