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Finding the Fourth Proportional to 517.52, 718.46 and 501.68

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Solution

The fourth proportional to 517.52, 718.46 and 501.68 is: 696.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.52 : 718.46 = 501.68 : x
  2. Step 2: Convert to fraction form
    517.52/718.46 = 501.68/x
  3. Step 3: Cross multiply
    517.52x = 718.46 × 501.68
  4. Step 4: Simplify right side
    517.52x = 360,437.01
  5. Step 5: Solve for x
    x = 360,437.01/517.52
  6. Step 6: Final answer
    x = 696.47

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.