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Finding the Fourth Proportional to 945.31, 1,409.34 and 921.34

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Solution

The fourth proportional to 945.31, 1,409.34 and 921.34 is: 1,373.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.31 : 1,409.34 = 921.34 : x
  2. Step 2: Convert to fraction form
    945.31/1,409.34 = 921.34/x
  3. Step 3: Cross multiply
    945.31x = 1,409.34 × 921.34
  4. Step 4: Simplify right side
    945.31x = 1,298,469.66
  5. Step 5: Solve for x
    x = 1,298,469.66/945.31
  6. Step 6: Final answer
    x = 1,373.59

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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.