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Finding the Fourth Proportional to 693.43, 1,038.61 and 639.41

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Solution

The fourth proportional to 693.43, 1,038.61 and 639.41 is: 957.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.43 : 1,038.61 = 639.41 : x
  2. Step 2: Convert to fraction form
    693.43/1,038.61 = 639.41/x
  3. Step 3: Cross multiply
    693.43x = 1,038.61 × 639.41
  4. Step 4: Simplify right side
    693.43x = 664,098.34
  5. Step 5: Solve for x
    x = 664,098.34/693.43
  6. Step 6: Final answer
    x = 957.70

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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.