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Finding the Fourth Proportional to 667.84, 1,002.04 and 407.84

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Solution

The fourth proportional to 667.84, 1,002.04 and 407.84 is: 611.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.84 : 1,002.04 = 407.84 : x
  2. Step 2: Convert to fraction form
    667.84/1,002.04 = 407.84/x
  3. Step 3: Cross multiply
    667.84x = 1,002.04 × 407.84
  4. Step 4: Simplify right side
    667.84x = 408,671.99
  5. Step 5: Solve for x
    x = 408,671.99/667.84
  6. Step 6: Final answer
    x = 611.93

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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.