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Finding the Fourth Proportional to 693.17, 1,038.94 and 281.75

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Solution

The fourth proportional to 693.17, 1,038.94 and 281.75 is: 422.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.17 : 1,038.94 = 281.75 : x
  2. Step 2: Convert to fraction form
    693.17/1,038.94 = 281.75/x
  3. Step 3: Cross multiply
    693.17x = 1,038.94 × 281.75
  4. Step 4: Simplify right side
    693.17x = 292,723.24
  5. Step 5: Solve for x
    x = 292,723.24/693.17
  6. Step 6: Final answer
    x = 422.30

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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.