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Finding the Fourth Proportional to 906.21, 1,359.70 and 614.04

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Solution

The fourth proportional to 906.21, 1,359.70 and 614.04 is: 921.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.21 : 1,359.70 = 614.04 : x
  2. Step 2: Convert to fraction form
    906.21/1,359.70 = 614.04/x
  3. Step 3: Cross multiply
    906.21x = 1,359.70 × 614.04
  4. Step 4: Simplify right side
    906.21x = 834,900.32
  5. Step 5: Solve for x
    x = 834,900.32/906.21
  6. Step 6: Final answer
    x = 921.32

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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.