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Finding the Fourth Proportional to 517.70, 715.86 and 495.92

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Solution

The fourth proportional to 517.70, 715.86 and 495.92 is: 685.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.70 : 715.86 = 495.92 : x
  2. Step 2: Convert to fraction form
    517.70/715.86 = 495.92/x
  3. Step 3: Cross multiply
    517.70x = 715.86 × 495.92
  4. Step 4: Simplify right side
    517.70x = 355,009.29
  5. Step 5: Solve for x
    x = 355,009.29/517.70
  6. Step 6: Final answer
    x = 685.74

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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.