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Finding the Fourth Proportional to 520.79, 715.69 and 496.70

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Solution

The fourth proportional to 520.79, 715.69 and 496.70 is: 682.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.79 : 715.69 = 496.70 : x
  2. Step 2: Convert to fraction form
    520.79/715.69 = 496.70/x
  3. Step 3: Cross multiply
    520.79x = 715.69 × 496.70
  4. Step 4: Simplify right side
    520.79x = 355,481.22
  5. Step 5: Solve for x
    x = 355,481.22/520.79
  6. Step 6: Final answer
    x = 682.58

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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.