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Finding the Fourth Proportional to 502.19, 752.07 and 347.68

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Solution

The fourth proportional to 502.19, 752.07 and 347.68 is: 520.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.19 : 752.07 = 347.68 : x
  2. Step 2: Convert to fraction form
    502.19/752.07 = 347.68/x
  3. Step 3: Cross multiply
    502.19x = 752.07 × 347.68
  4. Step 4: Simplify right side
    502.19x = 261,479.70
  5. Step 5: Solve for x
    x = 261,479.70/502.19
  6. Step 6: Final answer
    x = 520.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.