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Finding the Fourth Proportional to 942.02, 1,299.66 and 610.86

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Solution

The fourth proportional to 942.02, 1,299.66 and 610.86 is: 842.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.02 : 1,299.66 = 610.86 : x
  2. Step 2: Convert to fraction form
    942.02/1,299.66 = 610.86/x
  3. Step 3: Cross multiply
    942.02x = 1,299.66 × 610.86
  4. Step 4: Simplify right side
    942.02x = 793,910.31
  5. Step 5: Solve for x
    x = 793,910.31/942.02
  6. Step 6: Final answer
    x = 842.77

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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.