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Finding the Fourth Proportional to 942.91, 1,411.29 and 853.09

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Solution

The fourth proportional to 942.91, 1,411.29 and 853.09 is: 1,276.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.91 : 1,411.29 = 853.09 : x
  2. Step 2: Convert to fraction form
    942.91/1,411.29 = 853.09/x
  3. Step 3: Cross multiply
    942.91x = 1,411.29 × 853.09
  4. Step 4: Simplify right side
    942.91x = 1,203,957.39
  5. Step 5: Solve for x
    x = 1,203,957.39/942.91
  6. Step 6: Final answer
    x = 1,276.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.