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Finding the Fourth Proportional to 1,774.32, 2,660.81 and 604.02

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Solution

The fourth proportional to 1,774.32, 2,660.81 and 604.02 is: 905.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774.32 : 2,660.81 = 604.02 : x
  2. Step 2: Convert to fraction form
    1,774.32/2,660.81 = 604.02/x
  3. Step 3: Cross multiply
    1,774.32x = 2,660.81 × 604.02
  4. Step 4: Simplify right side
    1,774.32x = 1,607,179.44
  5. Step 5: Solve for x
    x = 1,607,179.44/1,774.32
  6. Step 6: Final answer
    x = 905.80

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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.