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Finding the Fourth Proportional to 1,306.22, 1,957.16 and 940.46

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Solution

The fourth proportional to 1,306.22, 1,957.16 and 940.46 is: 1,409.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.22 : 1,957.16 = 940.46 : x
  2. Step 2: Convert to fraction form
    1,306.22/1,957.16 = 940.46/x
  3. Step 3: Cross multiply
    1,306.22x = 1,957.16 × 940.46
  4. Step 4: Simplify right side
    1,306.22x = 1,840,630.69
  5. Step 5: Solve for x
    x = 1,840,630.69/1,306.22
  6. Step 6: Final answer
    x = 1,409.13

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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.