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Finding the Fourth Proportional to 784.05, 1,174.25 and 563.30

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Solution

The fourth proportional to 784.05, 1,174.25 and 563.30 is: 843.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.05 : 1,174.25 = 563.30 : x
  2. Step 2: Convert to fraction form
    784.05/1,174.25 = 563.30/x
  3. Step 3: Cross multiply
    784.05x = 1,174.25 × 563.30
  4. Step 4: Simplify right side
    784.05x = 661,455.03
  5. Step 5: Solve for x
    x = 661,455.03/784.05
  6. Step 6: Final answer
    x = 843.64

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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.