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Finding the Fourth Proportional to 506.58, 759.15 and 289.71

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Solution

The fourth proportional to 506.58, 759.15 and 289.71 is: 434.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.58 : 759.15 = 289.71 : x
  2. Step 2: Convert to fraction form
    506.58/759.15 = 289.71/x
  3. Step 3: Cross multiply
    506.58x = 759.15 × 289.71
  4. Step 4: Simplify right side
    506.58x = 219,933.35
  5. Step 5: Solve for x
    x = 219,933.35/506.58
  6. Step 6: Final answer
    x = 434.15

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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.