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Finding the Fourth Proportional to 1,199.88, 1,656.54 and 826.74

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Solution

The fourth proportional to 1,199.88, 1,656.54 and 826.74 is: 1,141.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.88 : 1,656.54 = 826.74 : x
  2. Step 2: Convert to fraction form
    1,199.88/1,656.54 = 826.74/x
  3. Step 3: Cross multiply
    1,199.88x = 1,656.54 × 826.74
  4. Step 4: Simplify right side
    1,199.88x = 1,369,527.88
  5. Step 5: Solve for x
    x = 1,369,527.88/1,199.88
  6. Step 6: Final answer
    x = 1,141.39

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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.