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Finding the Fourth Proportional to 687.02, 1,031.09 and 394.83

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Solution

The fourth proportional to 687.02, 1,031.09 and 394.83 is: 592.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.02 : 1,031.09 = 394.83 : x
  2. Step 2: Convert to fraction form
    687.02/1,031.09 = 394.83/x
  3. Step 3: Cross multiply
    687.02x = 1,031.09 × 394.83
  4. Step 4: Simplify right side
    687.02x = 407,103.29
  5. Step 5: Solve for x
    x = 407,103.29/687.02
  6. Step 6: Final answer
    x = 592.57

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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.