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Finding the Fourth Proportional to 1,126.76, 1,688.82 and 477.32

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Solution

The fourth proportional to 1,126.76, 1,688.82 and 477.32 is: 715.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.76 : 1,688.82 = 477.32 : x
  2. Step 2: Convert to fraction form
    1,126.76/1,688.82 = 477.32/x
  3. Step 3: Cross multiply
    1,126.76x = 1,688.82 × 477.32
  4. Step 4: Simplify right side
    1,126.76x = 806,107.56
  5. Step 5: Solve for x
    x = 806,107.56/1,126.76
  6. Step 6: Final answer
    x = 715.42

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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.