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Finding the Fourth Proportional to 942.56, 1,410.32 and 669.28

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Solution

The fourth proportional to 942.56, 1,410.32 and 669.28 is: 1,001.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.56 : 1,410.32 = 669.28 : x
  2. Step 2: Convert to fraction form
    942.56/1,410.32 = 669.28/x
  3. Step 3: Cross multiply
    942.56x = 1,410.32 × 669.28
  4. Step 4: Simplify right side
    942.56x = 943,898.97
  5. Step 5: Solve for x
    x = 943,898.97/942.56
  6. Step 6: Final answer
    x = 1,001.42

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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.