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Finding the Fourth Proportional to 708.28, 976.42 and 497.82

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Solution

The fourth proportional to 708.28, 976.42 and 497.82 is: 686.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.28 : 976.42 = 497.82 : x
  2. Step 2: Convert to fraction form
    708.28/976.42 = 497.82/x
  3. Step 3: Cross multiply
    708.28x = 976.42 × 497.82
  4. Step 4: Simplify right side
    708.28x = 486,081.40
  5. Step 5: Solve for x
    x = 486,081.40/708.28
  6. Step 6: Final answer
    x = 686.28

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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.