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Finding the Fourth Proportional to 724.78, 999.75 and 445.06

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Solution

The fourth proportional to 724.78, 999.75 and 445.06 is: 613.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.78 : 999.75 = 445.06 : x
  2. Step 2: Convert to fraction form
    724.78/999.75 = 445.06/x
  3. Step 3: Cross multiply
    724.78x = 999.75 × 445.06
  4. Step 4: Simplify right side
    724.78x = 444,948.74
  5. Step 5: Solve for x
    x = 444,948.74/724.78
  6. Step 6: Final answer
    x = 613.91

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1.5x scale

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.