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Finding the Fourth Proportional to 993.50, 1,370.76 and 620.86

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Solution

The fourth proportional to 993.50, 1,370.76 and 620.86 is: 856.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.50 : 1,370.76 = 620.86 : x
  2. Step 2: Convert to fraction form
    993.50/1,370.76 = 620.86/x
  3. Step 3: Cross multiply
    993.50x = 1,370.76 × 620.86
  4. Step 4: Simplify right side
    993.50x = 851,048.80
  5. Step 5: Solve for x
    x = 851,048.80/993.50
  6. Step 6: Final answer
    x = 856.61

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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.