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Finding the Fourth Proportional to 916.48, 1,376.52 and 786.43

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Solution

The fourth proportional to 916.48, 1,376.52 and 786.43 is: 1,181.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.48 : 1,376.52 = 786.43 : x
  2. Step 2: Convert to fraction form
    916.48/1,376.52 = 786.43/x
  3. Step 3: Cross multiply
    916.48x = 1,376.52 × 786.43
  4. Step 4: Simplify right side
    916.48x = 1,082,536.62
  5. Step 5: Solve for x
    x = 1,082,536.62/916.48
  6. Step 6: Final answer
    x = 1,181.19

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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.