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Finding the Fourth Proportional to 1,903.20, 2,855.06 and 604.84

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Solution

The fourth proportional to 1,903.20, 2,855.06 and 604.84 is: 907.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,903.20 : 2,855.06 = 604.84 : x
  2. Step 2: Convert to fraction form
    1,903.20/2,855.06 = 604.84/x
  3. Step 3: Cross multiply
    1,903.20x = 2,855.06 × 604.84
  4. Step 4: Simplify right side
    1,903.20x = 1,726,854.49
  5. Step 5: Solve for x
    x = 1,726,854.49/1,903.20
  6. Step 6: Final answer
    x = 907.34

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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.