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Finding the Fourth Proportional to 1,334.64, 1,842.04 and 775.07

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Solution

The fourth proportional to 1,334.64, 1,842.04 and 775.07 is: 1,069.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.64 : 1,842.04 = 775.07 : x
  2. Step 2: Convert to fraction form
    1,334.64/1,842.04 = 775.07/x
  3. Step 3: Cross multiply
    1,334.64x = 1,842.04 × 775.07
  4. Step 4: Simplify right side
    1,334.64x = 1,427,708.61
  5. Step 5: Solve for x
    x = 1,427,708.61/1,334.64
  6. Step 6: Final answer
    x = 1,069.73

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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.