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Finding the Fourth Proportional to 506.19, 758.67 and 288.71

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Solution

The fourth proportional to 506.19, 758.67 and 288.71 is: 432.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.19 : 758.67 = 288.71 : x
  2. Step 2: Convert to fraction form
    506.19/758.67 = 288.71/x
  3. Step 3: Cross multiply
    506.19x = 758.67 × 288.71
  4. Step 4: Simplify right side
    506.19x = 219,035.62
  5. Step 5: Solve for x
    x = 219,035.62/506.19
  6. Step 6: Final answer
    x = 432.71

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