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Finding the Fourth Proportional to 1,307.26, 1,961.42 and 787.57

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Solution

The fourth proportional to 1,307.26, 1,961.42 and 787.57 is: 1,181.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.26 : 1,961.42 = 787.57 : x
  2. Step 2: Convert to fraction form
    1,307.26/1,961.42 = 787.57/x
  3. Step 3: Cross multiply
    1,307.26x = 1,961.42 × 787.57
  4. Step 4: Simplify right side
    1,307.26x = 1,544,755.55
  5. Step 5: Solve for x
    x = 1,544,755.55/1,307.26
  6. Step 6: Final answer
    x = 1,181.67

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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.