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Finding the Fourth Proportional to 993, 1,370.28 and 550.86

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Solution

The fourth proportional to 993, 1,370.28 and 550.86 is: 760.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    993 : 1,370.28 = 550.86 : x
  2. Step 2: Convert to fraction form
    993/1,370.28 = 550.86/x
  3. Step 3: Cross multiply
    993x = 1,370.28 × 550.86
  4. Step 4: Simplify right side
    993x = 754,832.44
  5. Step 5: Solve for x
    x = 754,832.44/993
  6. Step 6: Final answer
    x = 760.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.