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Finding the Fourth Proportional to 723.92, 1,083.15 and 430.34

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Solution

The fourth proportional to 723.92, 1,083.15 and 430.34 is: 643.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.92 : 1,083.15 = 430.34 : x
  2. Step 2: Convert to fraction form
    723.92/1,083.15 = 430.34/x
  3. Step 3: Cross multiply
    723.92x = 1,083.15 × 430.34
  4. Step 4: Simplify right side
    723.92x = 466,117.36
  5. Step 5: Solve for x
    x = 466,117.36/723.92
  6. Step 6: Final answer
    x = 643.88

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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.