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Finding the Fourth Proportional to 803.90, 1,206.62 and 439.46

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Solution

The fourth proportional to 803.90, 1,206.62 and 439.46 is: 659.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.90 : 1,206.62 = 439.46 : x
  2. Step 2: Convert to fraction form
    803.90/1,206.62 = 439.46/x
  3. Step 3: Cross multiply
    803.90x = 1,206.62 × 439.46
  4. Step 4: Simplify right side
    803.90x = 530,261.23
  5. Step 5: Solve for x
    x = 530,261.23/803.90
  6. Step 6: Final answer
    x = 659.61

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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.