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Finding the Fourth Proportional to 720.19, 993.49 and 454.13

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Solution

The fourth proportional to 720.19, 993.49 and 454.13 is: 626.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.19 : 993.49 = 454.13 : x
  2. Step 2: Convert to fraction form
    720.19/993.49 = 454.13/x
  3. Step 3: Cross multiply
    720.19x = 993.49 × 454.13
  4. Step 4: Simplify right side
    720.19x = 451,175.31
  5. Step 5: Solve for x
    x = 451,175.31/720.19
  6. Step 6: Final answer
    x = 626.47

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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.