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Finding the Fourth Proportional to 720.44, 993.90 and 471.68

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Solution

The fourth proportional to 720.44, 993.90 and 471.68 is: 650.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.44 : 993.90 = 471.68 : x
  2. Step 2: Convert to fraction form
    720.44/993.90 = 471.68/x
  3. Step 3: Cross multiply
    720.44x = 993.90 × 471.68
  4. Step 4: Simplify right side
    720.44x = 468,802.75
  5. Step 5: Solve for x
    x = 468,802.75/720.44
  6. Step 6: Final answer
    x = 650.72

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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.