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Finding the Fourth Proportional to 1,126.62, 1,690.82 and 782.37

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Solution

The fourth proportional to 1,126.62, 1,690.82 and 782.37 is: 1,174.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.62 : 1,690.82 = 782.37 : x
  2. Step 2: Convert to fraction form
    1,126.62/1,690.82 = 782.37/x
  3. Step 3: Cross multiply
    1,126.62x = 1,690.82 × 782.37
  4. Step 4: Simplify right side
    1,126.62x = 1,322,842.93
  5. Step 5: Solve for x
    x = 1,322,842.93/1,126.62
  6. Step 6: Final answer
    x = 1,174.17

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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.