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Finding the Fourth Proportional to 1,285.56, 1,774.32 and 820.08

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Solution

The fourth proportional to 1,285.56, 1,774.32 and 820.08 is: 1,131.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.56 : 1,774.32 = 820.08 : x
  2. Step 2: Convert to fraction form
    1,285.56/1,774.32 = 820.08/x
  3. Step 3: Cross multiply
    1,285.56x = 1,774.32 × 820.08
  4. Step 4: Simplify right side
    1,285.56x = 1,455,084.35
  5. Step 5: Solve for x
    x = 1,455,084.35/1,285.56
  6. Step 6: Final answer
    x = 1,131.87

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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.