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Finding the Fourth Proportional to 942.42, 1,405.58 and 827.61

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Solution

The fourth proportional to 942.42, 1,405.58 and 827.61 is: 1,234.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.42 : 1,405.58 = 827.61 : x
  2. Step 2: Convert to fraction form
    942.42/1,405.58 = 827.61/x
  3. Step 3: Cross multiply
    942.42x = 1,405.58 × 827.61
  4. Step 4: Simplify right side
    942.42x = 1,163,267.93
  5. Step 5: Solve for x
    x = 1,163,267.93/942.42
  6. Step 6: Final answer
    x = 1,234.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.