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Finding the Fourth Proportional to 708.72, 977.99 and 443.28

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Solution

The fourth proportional to 708.72, 977.99 and 443.28 is: 611.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.72 : 977.99 = 443.28 : x
  2. Step 2: Convert to fraction form
    708.72/977.99 = 443.28/x
  3. Step 3: Cross multiply
    708.72x = 977.99 × 443.28
  4. Step 4: Simplify right side
    708.72x = 433,521.19
  5. Step 5: Solve for x
    x = 433,521.19/708.72
  6. Step 6: Final answer
    x = 611.70

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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.