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Finding the Fourth Proportional to 1,027.16, 1,415.98 and 817.42

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Solution

The fourth proportional to 1,027.16, 1,415.98 and 817.42 is: 1,126.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.16 : 1,415.98 = 817.42 : x
  2. Step 2: Convert to fraction form
    1,027.16/1,415.98 = 817.42/x
  3. Step 3: Cross multiply
    1,027.16x = 1,415.98 × 817.42
  4. Step 4: Simplify right side
    1,027.16x = 1,157,439.20
  5. Step 5: Solve for x
    x = 1,157,439.20/1,027.16
  6. Step 6: Final answer
    x = 1,126.83

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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.