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Finding the Fourth Proportional to 1,295.57, 1,787.92 and 736.07

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Solution

The fourth proportional to 1,295.57, 1,787.92 and 736.07 is: 1,015.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.57 : 1,787.92 = 736.07 : x
  2. Step 2: Convert to fraction form
    1,295.57/1,787.92 = 736.07/x
  3. Step 3: Cross multiply
    1,295.57x = 1,787.92 × 736.07
  4. Step 4: Simplify right side
    1,295.57x = 1,316,023.49
  5. Step 5: Solve for x
    x = 1,316,023.49/1,295.57
  6. Step 6: Final answer
    x = 1,015.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.