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Finding the Fourth Proportional to 516.60, 713.07 and 490.48

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Solution

The fourth proportional to 516.60, 713.07 and 490.48 is: 677.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.60 : 713.07 = 490.48 : x
  2. Step 2: Convert to fraction form
    516.60/713.07 = 490.48/x
  3. Step 3: Cross multiply
    516.60x = 713.07 × 490.48
  4. Step 4: Simplify right side
    516.60x = 349,746.57
  5. Step 5: Solve for x
    x = 349,746.57/516.60
  6. Step 6: Final answer
    x = 677.02

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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.