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Finding the Fourth Proportional to 518.50, 715.71 and 363.70

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Solution

The fourth proportional to 518.50, 715.71 and 363.70 is: 502.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.50 : 715.71 = 363.70 : x
  2. Step 2: Convert to fraction form
    518.50/715.71 = 363.70/x
  3. Step 3: Cross multiply
    518.50x = 715.71 × 363.70
  4. Step 4: Simplify right side
    518.50x = 260,303.73
  5. Step 5: Solve for x
    x = 260,303.73/518.50
  6. Step 6: Final answer
    x = 502.03

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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.