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Finding the Fourth Proportional to 693.28, 1,040.08 and 368.96

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Solution

The fourth proportional to 693.28, 1,040.08 and 368.96 is: 553.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.28 : 1,040.08 = 368.96 : x
  2. Step 2: Convert to fraction form
    693.28/1,040.08 = 368.96/x
  3. Step 3: Cross multiply
    693.28x = 1,040.08 × 368.96
  4. Step 4: Simplify right side
    693.28x = 383,747.92
  5. Step 5: Solve for x
    x = 383,747.92/693.28
  6. Step 6: Final answer
    x = 553.53

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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.