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Finding the Fourth Proportional to 723.04, 1,083.52 and 393.68

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Solution

The fourth proportional to 723.04, 1,083.52 and 393.68 is: 589.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.04 : 1,083.52 = 393.68 : x
  2. Step 2: Convert to fraction form
    723.04/1,083.52 = 393.68/x
  3. Step 3: Cross multiply
    723.04x = 1,083.52 × 393.68
  4. Step 4: Simplify right side
    723.04x = 426,560.15
  5. Step 5: Solve for x
    x = 426,560.15/723.04
  6. Step 6: Final answer
    x = 589.95

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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.