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Finding the Fourth Proportional to 906.94, 1,361.04 and 690.76

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Solution

The fourth proportional to 906.94, 1,361.04 and 690.76 is: 1,036.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.94 : 1,361.04 = 690.76 : x
  2. Step 2: Convert to fraction form
    906.94/1,361.04 = 690.76/x
  3. Step 3: Cross multiply
    906.94x = 1,361.04 × 690.76
  4. Step 4: Simplify right side
    906.94x = 940,151.99
  5. Step 5: Solve for x
    x = 940,151.99/906.94
  6. Step 6: Final answer
    x = 1,036.62

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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.