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Finding the Fourth Proportional to 1,011.64, 1,396.08 and 563.55

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Solution

The fourth proportional to 1,011.64, 1,396.08 and 563.55 is: 777.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.64 : 1,396.08 = 563.55 : x
  2. Step 2: Convert to fraction form
    1,011.64/1,396.08 = 563.55/x
  3. Step 3: Cross multiply
    1,011.64x = 1,396.08 × 563.55
  4. Step 4: Simplify right side
    1,011.64x = 786,760.88
  5. Step 5: Solve for x
    x = 786,760.88/1,011.64
  6. Step 6: Final answer
    x = 777.71

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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.