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Finding the Fourth Proportional to 942.35, 1,412.57 and 667.79

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Solution

The fourth proportional to 942.35, 1,412.57 and 667.79 is: 1,001.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.35 : 1,412.57 = 667.79 : x
  2. Step 2: Convert to fraction form
    942.35/1,412.57 = 667.79/x
  3. Step 3: Cross multiply
    942.35x = 1,412.57 × 667.79
  4. Step 4: Simplify right side
    942.35x = 943,296.78
  5. Step 5: Solve for x
    x = 943,296.78/942.35
  6. Step 6: Final answer
    x = 1,001.00

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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.