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Finding the Fourth Proportional to 803.50, 1,203.31 and 391.62

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Solution

The fourth proportional to 803.50, 1,203.31 and 391.62 is: 586.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.50 : 1,203.31 = 391.62 : x
  2. Step 2: Convert to fraction form
    803.50/1,203.31 = 391.62/x
  3. Step 3: Cross multiply
    803.50x = 1,203.31 × 391.62
  4. Step 4: Simplify right side
    803.50x = 471,240.26
  5. Step 5: Solve for x
    x = 471,240.26/803.50
  6. Step 6: Final answer
    x = 586.48

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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.