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Finding the Fourth Proportional to 1,175.38, 1,624.04 and 1,027.78

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Solution

The fourth proportional to 1,175.38, 1,624.04 and 1,027.78 is: 1,420.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.38 : 1,624.04 = 1,027.78 : x
  2. Step 2: Convert to fraction form
    1,175.38/1,624.04 = 1,027.78/x
  3. Step 3: Cross multiply
    1,175.38x = 1,624.04 × 1,027.78
  4. Step 4: Simplify right side
    1,175.38x = 1,669,155.83
  5. Step 5: Solve for x
    x = 1,669,155.83/1,175.38
  6. Step 6: Final answer
    x = 1,420.10

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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.