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Finding the Fourth Proportional to 720.20, 994.14 and 480.98

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Solution

The fourth proportional to 720.20, 994.14 and 480.98 is: 663.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.20 : 994.14 = 480.98 : x
  2. Step 2: Convert to fraction form
    720.20/994.14 = 480.98/x
  3. Step 3: Cross multiply
    720.20x = 994.14 × 480.98
  4. Step 4: Simplify right side
    720.20x = 478,161.46
  5. Step 5: Solve for x
    x = 478,161.46/720.20
  6. Step 6: Final answer
    x = 663.93

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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.