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Finding the Fourth Proportional to 720.06, 993.63 and 425.27

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Solution

The fourth proportional to 720.06, 993.63 and 425.27 is: 586.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.06 : 993.63 = 425.27 : x
  2. Step 2: Convert to fraction form
    720.06/993.63 = 425.27/x
  3. Step 3: Cross multiply
    720.06x = 993.63 × 425.27
  4. Step 4: Simplify right side
    720.06x = 422,561.92
  5. Step 5: Solve for x
    x = 422,561.92/720.06
  6. Step 6: Final answer
    x = 586.84

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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.