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Finding the Fourth Proportional to 993.39, 1,490.24 and 506.18

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Solution

The fourth proportional to 993.39, 1,490.24 and 506.18 is: 759.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.39 : 1,490.24 = 506.18 : x
  2. Step 2: Convert to fraction form
    993.39/1,490.24 = 506.18/x
  3. Step 3: Cross multiply
    993.39x = 1,490.24 × 506.18
  4. Step 4: Simplify right side
    993.39x = 754,329.68
  5. Step 5: Solve for x
    x = 754,329.68/993.39
  6. Step 6: Final answer
    x = 759.35

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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.