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Finding the Fourth Proportional to 723, 1,083.06 and 356.68

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Solution

The fourth proportional to 723, 1,083.06 and 356.68 is: 534.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    723 : 1,083.06 = 356.68 : x
  2. Step 2: Convert to fraction form
    723/1,083.06 = 356.68/x
  3. Step 3: Cross multiply
    723x = 1,083.06 × 356.68
  4. Step 4: Simplify right side
    723x = 386,305.84
  5. Step 5: Solve for x
    x = 386,305.84/723
  6. Step 6: Final answer
    x = 534.31

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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.