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Finding the Fourth Proportional to 942.17, 1,406.79 and 766.85

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Solution

The fourth proportional to 942.17, 1,406.79 and 766.85 is: 1,145.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.17 : 1,406.79 = 766.85 : x
  2. Step 2: Convert to fraction form
    942.17/1,406.79 = 766.85/x
  3. Step 3: Cross multiply
    942.17x = 1,406.79 × 766.85
  4. Step 4: Simplify right side
    942.17x = 1,078,789.88
  5. Step 5: Solve for x
    x = 1,078,789.88/942.17
  6. Step 6: Final answer
    x = 1,145.01

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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.