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Finding the Fourth Proportional to 1,326.64, 1,991.12 and 710.84

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Solution

The fourth proportional to 1,326.64, 1,991.12 and 710.84 is: 1,066.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.64 : 1,991.12 = 710.84 : x
  2. Step 2: Convert to fraction form
    1,326.64/1,991.12 = 710.84/x
  3. Step 3: Cross multiply
    1,326.64x = 1,991.12 × 710.84
  4. Step 4: Simplify right side
    1,326.64x = 1,415,367.74
  5. Step 5: Solve for x
    x = 1,415,367.74/1,326.64
  6. Step 6: Final answer
    x = 1,066.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.