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Finding the Fourth Proportional to 916.72, 1,381.37 and 757.96

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Solution

The fourth proportional to 916.72, 1,381.37 and 757.96 is: 1,142.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.72 : 1,381.37 = 757.96 : x
  2. Step 2: Convert to fraction form
    916.72/1,381.37 = 757.96/x
  3. Step 3: Cross multiply
    916.72x = 1,381.37 × 757.96
  4. Step 4: Simplify right side
    916.72x = 1,047,023.21
  5. Step 5: Solve for x
    x = 1,047,023.21/916.72
  6. Step 6: Final answer
    x = 1,142.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.