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Finding the Fourth Proportional to 708.69, 978.46 and 443.53

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Solution

The fourth proportional to 708.69, 978.46 and 443.53 is: 612.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.69 : 978.46 = 443.53 : x
  2. Step 2: Convert to fraction form
    708.69/978.46 = 443.53/x
  3. Step 3: Cross multiply
    708.69x = 978.46 × 443.53
  4. Step 4: Simplify right side
    708.69x = 433,976.36
  5. Step 5: Solve for x
    x = 433,976.36/708.69
  6. Step 6: Final answer
    x = 612.36

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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.