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Finding the Fourth Proportional to 709.08, 977.94 and 487.68

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Solution

The fourth proportional to 709.08, 977.94 and 487.68 is: 672.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.08 : 977.94 = 487.68 : x
  2. Step 2: Convert to fraction form
    709.08/977.94 = 487.68/x
  3. Step 3: Cross multiply
    709.08x = 977.94 × 487.68
  4. Step 4: Simplify right side
    709.08x = 476,921.78
  5. Step 5: Solve for x
    x = 476,921.78/709.08
  6. Step 6: Final answer
    x = 672.59

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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.