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Finding the Fourth Proportional to 517.64, 709.81 and 499.28

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Solution

The fourth proportional to 517.64, 709.81 and 499.28 is: 684.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.64 : 709.81 = 499.28 : x
  2. Step 2: Convert to fraction form
    517.64/709.81 = 499.28/x
  3. Step 3: Cross multiply
    517.64x = 709.81 × 499.28
  4. Step 4: Simplify right side
    517.64x = 354,393.94
  5. Step 5: Solve for x
    x = 354,393.94/517.64
  6. Step 6: Final answer
    x = 684.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.