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Finding the Fourth Proportional to 1,023.64, 1,536.37 and 537.03

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Solution

The fourth proportional to 1,023.64, 1,536.37 and 537.03 is: 806.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.64 : 1,536.37 = 537.03 : x
  2. Step 2: Convert to fraction form
    1,023.64/1,536.37 = 537.03/x
  3. Step 3: Cross multiply
    1,023.64x = 1,536.37 × 537.03
  4. Step 4: Simplify right side
    1,023.64x = 825,075.44
  5. Step 5: Solve for x
    x = 825,075.44/1,023.64
  6. Step 6: Final answer
    x = 806.02

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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.