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Finding the Fourth Proportional to 693.20, 1,039.36 and 368.48

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Solution

The fourth proportional to 693.20, 1,039.36 and 368.48 is: 552.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.20 : 1,039.36 = 368.48 : x
  2. Step 2: Convert to fraction form
    693.20/1,039.36 = 368.48/x
  3. Step 3: Cross multiply
    693.20x = 1,039.36 × 368.48
  4. Step 4: Simplify right side
    693.20x = 382,983.37
  5. Step 5: Solve for x
    x = 382,983.37/693.20
  6. Step 6: Final answer
    x = 552.49

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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.