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Finding the Fourth Proportional to 723.61, 999.15 and 583.27

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Solution

The fourth proportional to 723.61, 999.15 and 583.27 is: 805.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.61 : 999.15 = 583.27 : x
  2. Step 2: Convert to fraction form
    723.61/999.15 = 583.27/x
  3. Step 3: Cross multiply
    723.61x = 999.15 × 583.27
  4. Step 4: Simplify right side
    723.61x = 582,774.22
  5. Step 5: Solve for x
    x = 582,774.22/723.61
  6. Step 6: Final answer
    x = 805.37

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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.