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Finding the Fourth Proportional to 1,286.55, 1,930.16 and 556.64

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Solution

The fourth proportional to 1,286.55, 1,930.16 and 556.64 is: 835.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.55 : 1,930.16 = 556.64 : x
  2. Step 2: Convert to fraction form
    1,286.55/1,930.16 = 556.64/x
  3. Step 3: Cross multiply
    1,286.55x = 1,930.16 × 556.64
  4. Step 4: Simplify right side
    1,286.55x = 1,074,394.61
  5. Step 5: Solve for x
    x = 1,074,394.61/1,286.55
  6. Step 6: Final answer
    x = 835.10

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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.