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Finding the Fourth Proportional to 1,062.75, 1,592.10 and 830.55

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Solution

The fourth proportional to 1,062.75, 1,592.10 and 830.55 is: 1,244.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.75 : 1,592.10 = 830.55 : x
  2. Step 2: Convert to fraction form
    1,062.75/1,592.10 = 830.55/x
  3. Step 3: Cross multiply
    1,062.75x = 1,592.10 × 830.55
  4. Step 4: Simplify right side
    1,062.75x = 1,322,318.66
  5. Step 5: Solve for x
    x = 1,322,318.66/1,062.75
  6. Step 6: Final answer
    x = 1,244.24

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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.