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Finding the Fourth Proportional to 945.67, 1,301.79 and 820.59

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Solution

The fourth proportional to 945.67, 1,301.79 and 820.59 is: 1,129.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.67 : 1,301.79 = 820.59 : x
  2. Step 2: Convert to fraction form
    945.67/1,301.79 = 820.59/x
  3. Step 3: Cross multiply
    945.67x = 1,301.79 × 820.59
  4. Step 4: Simplify right side
    945.67x = 1,068,235.86
  5. Step 5: Solve for x
    x = 1,068,235.86/945.67
  6. Step 6: Final answer
    x = 1,129.61

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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.