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Finding the Fourth Proportional to 724.62, 999.92 and 405.58

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Solution

The fourth proportional to 724.62, 999.92 and 405.58 is: 559.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.62 : 999.92 = 405.58 : x
  2. Step 2: Convert to fraction form
    724.62/999.92 = 405.58/x
  3. Step 3: Cross multiply
    724.62x = 999.92 × 405.58
  4. Step 4: Simplify right side
    724.62x = 405,547.55
  5. Step 5: Solve for x
    x = 405,547.55/724.62
  6. Step 6: Final answer
    x = 559.67

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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.