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Finding the Fourth Proportional to 1,468.90, 2,204.03 and 920.78

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Solution

The fourth proportional to 1,468.90, 2,204.03 and 920.78 is: 1,381.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.90 : 2,204.03 = 920.78 : x
  2. Step 2: Convert to fraction form
    1,468.90/2,204.03 = 920.78/x
  3. Step 3: Cross multiply
    1,468.90x = 2,204.03 × 920.78
  4. Step 4: Simplify right side
    1,468.90x = 2,029,426.74
  5. Step 5: Solve for x
    x = 2,029,426.74/1,468.90
  6. Step 6: Final answer
    x = 1,381.60

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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.