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Finding the Fourth Proportional to 723.91, 999.67 and 577.61

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Solution

The fourth proportional to 723.91, 999.67 and 577.61 is: 797.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.91 : 999.67 = 577.61 : x
  2. Step 2: Convert to fraction form
    723.91/999.67 = 577.61/x
  3. Step 3: Cross multiply
    723.91x = 999.67 × 577.61
  4. Step 4: Simplify right side
    723.91x = 577,419.39
  5. Step 5: Solve for x
    x = 577,419.39/723.91
  6. Step 6: Final answer
    x = 797.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.