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Finding the Fourth Proportional to 944.16, 1,302.48 and 757.89

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Solution

The fourth proportional to 944.16, 1,302.48 and 757.89 is: 1,045.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.16 : 1,302.48 = 757.89 : x
  2. Step 2: Convert to fraction form
    944.16/1,302.48 = 757.89/x
  3. Step 3: Cross multiply
    944.16x = 1,302.48 × 757.89
  4. Step 4: Simplify right side
    944.16x = 987,136.57
  5. Step 5: Solve for x
    x = 987,136.57/944.16
  6. Step 6: Final answer
    x = 1,045.52

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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.