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Finding the Fourth Proportional to 1,027.08, 1,537.27 and 557.85

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Solution

The fourth proportional to 1,027.08, 1,537.27 and 557.85 is: 834.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.08 : 1,537.27 = 557.85 : x
  2. Step 2: Convert to fraction form
    1,027.08/1,537.27 = 557.85/x
  3. Step 3: Cross multiply
    1,027.08x = 1,537.27 × 557.85
  4. Step 4: Simplify right side
    1,027.08x = 857,563.17
  5. Step 5: Solve for x
    x = 857,563.17/1,027.08
  6. Step 6: Final answer
    x = 834.95

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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.