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Finding the Fourth Proportional to 709.43, 977.97 and 498.98

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Solution

The fourth proportional to 709.43, 977.97 and 498.98 is: 687.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.43 : 977.97 = 498.98 : x
  2. Step 2: Convert to fraction form
    709.43/977.97 = 498.98/x
  3. Step 3: Cross multiply
    709.43x = 977.97 × 498.98
  4. Step 4: Simplify right side
    709.43x = 487,982.58
  5. Step 5: Solve for x
    x = 487,982.58/709.43
  6. Step 6: Final answer
    x = 687.86

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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.