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Finding the Fourth Proportional to 1,139.90, 1,711.05 and 910.26

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Solution

The fourth proportional to 1,139.90, 1,711.05 and 910.26 is: 1,366.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.90 : 1,711.05 = 910.26 : x
  2. Step 2: Convert to fraction form
    1,139.90/1,711.05 = 910.26/x
  3. Step 3: Cross multiply
    1,139.90x = 1,711.05 × 910.26
  4. Step 4: Simplify right side
    1,139.90x = 1,557,500.37
  5. Step 5: Solve for x
    x = 1,557,500.37/1,139.90
  6. Step 6: Final answer
    x = 1,366.35

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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.