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Finding the Fourth Proportional to 708.54, 976.62 and 498.95

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Solution

The fourth proportional to 708.54, 976.62 and 498.95 is: 687.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.54 : 976.62 = 498.95 : x
  2. Step 2: Convert to fraction form
    708.54/976.62 = 498.95/x
  3. Step 3: Cross multiply
    708.54x = 976.62 × 498.95
  4. Step 4: Simplify right side
    708.54x = 487,284.55
  5. Step 5: Solve for x
    x = 487,284.55/708.54
  6. Step 6: Final answer
    x = 687.73

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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.