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Finding the Fourth Proportional to 723.79, 1,086.23 and 581.23

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Solution

The fourth proportional to 723.79, 1,086.23 and 581.23 is: 872.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.79 : 1,086.23 = 581.23 : x
  2. Step 2: Convert to fraction form
    723.79/1,086.23 = 581.23/x
  3. Step 3: Cross multiply
    723.79x = 1,086.23 × 581.23
  4. Step 4: Simplify right side
    723.79x = 631,349.46
  5. Step 5: Solve for x
    x = 631,349.46/723.79
  6. Step 6: Final answer
    x = 872.28

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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.