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Finding the Fourth Proportional to 1,138.84, 1,706.82 and 625.24

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Solution

The fourth proportional to 1,138.84, 1,706.82 and 625.24 is: 937.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.84 : 1,706.82 = 625.24 : x
  2. Step 2: Convert to fraction form
    1,138.84/1,706.82 = 625.24/x
  3. Step 3: Cross multiply
    1,138.84x = 1,706.82 × 625.24
  4. Step 4: Simplify right side
    1,138.84x = 1,067,172.14
  5. Step 5: Solve for x
    x = 1,067,172.14/1,138.84
  6. Step 6: Final answer
    x = 937.07

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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.