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Finding the Fourth Proportional to 942.90, 1,253.09 and 942.90

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Solution

The fourth proportional to 942.90, 1,253.09 and 942.90 is: 1,253.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.90 : 1,253.09 = 942.90 : x
  2. Step 2: Convert to fraction form
    942.90/1,253.09 = 942.90/x
  3. Step 3: Cross multiply
    942.90x = 1,253.09 × 942.90
  4. Step 4: Simplify right side
    942.90x = 1,181,533.85
  5. Step 5: Solve for x
    x = 1,181,533.85/942.90
  6. Step 6: Final answer
    x = 1,253.09

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.