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Finding the Fourth Proportional to 720.69, 994.56 and 472.43

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Solution

The fourth proportional to 720.69, 994.56 and 472.43 is: 651.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.69 : 994.56 = 472.43 : x
  2. Step 2: Convert to fraction form
    720.69/994.56 = 472.43/x
  3. Step 3: Cross multiply
    720.69x = 994.56 × 472.43
  4. Step 4: Simplify right side
    720.69x = 469,852.65
  5. Step 5: Solve for x
    x = 469,852.65/720.69
  6. Step 6: Final answer
    x = 651.95

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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.