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Finding the Fourth Proportional to 1,265.70, 1,896.21 and 1,061.58

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Solution

The fourth proportional to 1,265.70, 1,896.21 and 1,061.58 is: 1,590.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.70 : 1,896.21 = 1,061.58 : x
  2. Step 2: Convert to fraction form
    1,265.70/1,896.21 = 1,061.58/x
  3. Step 3: Cross multiply
    1,265.70x = 1,896.21 × 1,061.58
  4. Step 4: Simplify right side
    1,265.70x = 2,012,978.61
  5. Step 5: Solve for x
    x = 2,012,978.61/1,265.70
  6. Step 6: Final answer
    x = 1,590.41

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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.