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Finding the Fourth Proportional to 1,266.72, 1,900.30 and 573.64

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Solution

The fourth proportional to 1,266.72, 1,900.30 and 573.64 is: 860.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.72 : 1,900.30 = 573.64 : x
  2. Step 2: Convert to fraction form
    1,266.72/1,900.30 = 573.64/x
  3. Step 3: Cross multiply
    1,266.72x = 1,900.30 × 573.64
  4. Step 4: Simplify right side
    1,266.72x = 1,090,088.09
  5. Step 5: Solve for x
    x = 1,090,088.09/1,266.72
  6. Step 6: Final answer
    x = 860.56

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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.