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Finding the Fourth Proportional to 518.80, 715.57 and 352.72

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Solution

The fourth proportional to 518.80, 715.57 and 352.72 is: 486.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.80 : 715.57 = 352.72 : x
  2. Step 2: Convert to fraction form
    518.80/715.57 = 352.72/x
  3. Step 3: Cross multiply
    518.80x = 715.57 × 352.72
  4. Step 4: Simplify right side
    518.80x = 252,395.85
  5. Step 5: Solve for x
    x = 252,395.85/518.80
  6. Step 6: Final answer
    x = 486.50

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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.