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Finding the Fourth Proportional to 945.66, 1,306.20 and 911.94

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Solution

The fourth proportional to 945.66, 1,306.20 and 911.94 is: 1,259.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.66 : 1,306.20 = 911.94 : x
  2. Step 2: Convert to fraction form
    945.66/1,306.20 = 911.94/x
  3. Step 3: Cross multiply
    945.66x = 1,306.20 × 911.94
  4. Step 4: Simplify right side
    945.66x = 1,191,176.03
  5. Step 5: Solve for x
    x = 1,191,176.03/945.66
  6. Step 6: Final answer
    x = 1,259.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.