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Finding the Fourth Proportional to 932.19, 1,285.86 and 821.94

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Solution

The fourth proportional to 932.19, 1,285.86 and 821.94 is: 1,133.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.19 : 1,285.86 = 821.94 : x
  2. Step 2: Convert to fraction form
    932.19/1,285.86 = 821.94/x
  3. Step 3: Cross multiply
    932.19x = 1,285.86 × 821.94
  4. Step 4: Simplify right side
    932.19x = 1,056,899.77
  5. Step 5: Solve for x
    x = 1,056,899.77/932.19
  6. Step 6: Final answer
    x = 1,133.78

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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.