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Finding the Fourth Proportional to 942.92, 1,412.62 and 841.24

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Solution

The fourth proportional to 942.92, 1,412.62 and 841.24 is: 1,260.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.92 : 1,412.62 = 841.24 : x
  2. Step 2: Convert to fraction form
    942.92/1,412.62 = 841.24/x
  3. Step 3: Cross multiply
    942.92x = 1,412.62 × 841.24
  4. Step 4: Simplify right side
    942.92x = 1,188,352.45
  5. Step 5: Solve for x
    x = 1,188,352.45/942.92
  6. Step 6: Final answer
    x = 1,260.29

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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.