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Finding the Fourth Proportional to 945.64, 1,306.42 and 757

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Solution

The fourth proportional to 945.64, 1,306.42 and 757 is: 1,045.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.64 : 1,306.42 = 757 : x
  2. Step 2: Convert to fraction form
    945.64/1,306.42 = 757/x
  3. Step 3: Cross multiply
    945.64x = 1,306.42 × 757
  4. Step 4: Simplify right side
    945.64x = 988,959.94
  5. Step 5: Solve for x
    x = 988,959.94/945.64
  6. Step 6: Final answer
    x = 1,045.81

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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.