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Finding the Fourth Proportional to 1,334.84, 2,002.21 and 603.90

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Solution

The fourth proportional to 1,334.84, 2,002.21 and 603.90 is: 905.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.84 : 2,002.21 = 603.90 : x
  2. Step 2: Convert to fraction form
    1,334.84/2,002.21 = 603.90/x
  3. Step 3: Cross multiply
    1,334.84x = 2,002.21 × 603.90
  4. Step 4: Simplify right side
    1,334.84x = 1,209,133.11
  5. Step 5: Solve for x
    x = 1,209,133.11/1,334.84
  6. Step 6: Final answer
    x = 905.83

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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.