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Finding the Fourth Proportional to 993.48, 1,491.09 and 531.63

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Solution

The fourth proportional to 993.48, 1,491.09 and 531.63 is: 797.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.48 : 1,491.09 = 531.63 : x
  2. Step 2: Convert to fraction form
    993.48/1,491.09 = 531.63/x
  3. Step 3: Cross multiply
    993.48x = 1,491.09 × 531.63
  4. Step 4: Simplify right side
    993.48x = 792,708.18
  5. Step 5: Solve for x
    x = 792,708.18/993.48
  6. Step 6: Final answer
    x = 797.91

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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.