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Finding the Fourth Proportional to 1,027.87, 1,547.73 and 755.87

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Solution

The fourth proportional to 1,027.87, 1,547.73 and 755.87 is: 1,138.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.87 : 1,547.73 = 755.87 : x
  2. Step 2: Convert to fraction form
    1,027.87/1,547.73 = 755.87/x
  3. Step 3: Cross multiply
    1,027.87x = 1,547.73 × 755.87
  4. Step 4: Simplify right side
    1,027.87x = 1,169,874.94
  5. Step 5: Solve for x
    x = 1,169,874.94/1,027.87
  6. Step 6: Final answer
    x = 1,138.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.