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Finding the Fourth Proportional to 708.95, 978.23 and 443.48

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Solution

The fourth proportional to 708.95, 978.23 and 443.48 is: 611.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.95 : 978.23 = 443.48 : x
  2. Step 2: Convert to fraction form
    708.95/978.23 = 443.48/x
  3. Step 3: Cross multiply
    708.95x = 978.23 × 443.48
  4. Step 4: Simplify right side
    708.95x = 433,819.16
  5. Step 5: Solve for x
    x = 433,819.16/708.95
  6. Step 6: Final answer
    x = 611.92

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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.