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Finding the Fourth Proportional to 720.02, 993.67 and 425.25

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Solution

The fourth proportional to 720.02, 993.67 and 425.25 is: 586.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.02 : 993.67 = 425.25 : x
  2. Step 2: Convert to fraction form
    720.02/993.67 = 425.25/x
  3. Step 3: Cross multiply
    720.02x = 993.67 × 425.25
  4. Step 4: Simplify right side
    720.02x = 422,557.10
  5. Step 5: Solve for x
    x = 422,557.10/720.02
  6. Step 6: Final answer
    x = 586.87

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