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Finding the Fourth Proportional to 946.69, 1,416.99 and 506.84

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Solution

The fourth proportional to 946.69, 1,416.99 and 506.84 is: 758.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.69 : 1,416.99 = 506.84 : x
  2. Step 2: Convert to fraction form
    946.69/1,416.99 = 506.84/x
  3. Step 3: Cross multiply
    946.69x = 1,416.99 × 506.84
  4. Step 4: Simplify right side
    946.69x = 718,180.13
  5. Step 5: Solve for x
    x = 718,180.13/946.69
  6. Step 6: Final answer
    x = 758.62

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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.