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Finding the Fourth Proportional to 993.79, 1,370.69 and 600.31

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Solution

The fourth proportional to 993.79, 1,370.69 and 600.31 is: 827.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.79 : 1,370.69 = 600.31 : x
  2. Step 2: Convert to fraction form
    993.79/1,370.69 = 600.31/x
  3. Step 3: Cross multiply
    993.79x = 1,370.69 × 600.31
  4. Step 4: Simplify right side
    993.79x = 822,835.91
  5. Step 5: Solve for x
    x = 822,835.91/993.79
  6. Step 6: Final answer
    x = 827.98

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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.