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Finding the Fourth Proportional to 709.24, 977.81 and 487.80

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Solution

The fourth proportional to 709.24, 977.81 and 487.80 is: 672.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.24 : 977.81 = 487.80 : x
  2. Step 2: Convert to fraction form
    709.24/977.81 = 487.80/x
  3. Step 3: Cross multiply
    709.24x = 977.81 × 487.80
  4. Step 4: Simplify right side
    709.24x = 476,975.72
  5. Step 5: Solve for x
    x = 476,975.72/709.24
  6. Step 6: Final answer
    x = 672.52

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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.