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Finding the Fourth Proportional to 708.08, 976.66 and 498.69

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Solution

The fourth proportional to 708.08, 976.66 and 498.69 is: 687.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.08 : 976.66 = 498.69 : x
  2. Step 2: Convert to fraction form
    708.08/976.66 = 498.69/x
  3. Step 3: Cross multiply
    708.08x = 976.66 × 498.69
  4. Step 4: Simplify right side
    708.08x = 487,049.33
  5. Step 5: Solve for x
    x = 487,049.33/708.08
  6. Step 6: Final answer
    x = 687.85

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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.