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Finding the Fourth Proportional to 1,356.57, 1,872.08 and 735.57

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Solution

The fourth proportional to 1,356.57, 1,872.08 and 735.57 is: 1,015.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.57 : 1,872.08 = 735.57 : x
  2. Step 2: Convert to fraction form
    1,356.57/1,872.08 = 735.57/x
  3. Step 3: Cross multiply
    1,356.57x = 1,872.08 × 735.57
  4. Step 4: Simplify right side
    1,356.57x = 1,377,042.21
  5. Step 5: Solve for x
    x = 1,377,042.21/1,356.57
  6. Step 6: Final answer
    x = 1,015.09

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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.