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Finding the Fourth Proportional to 1,025.53, 1,536.77 and 538.92

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Solution

The fourth proportional to 1,025.53, 1,536.77 and 538.92 is: 807.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.53 : 1,536.77 = 538.92 : x
  2. Step 2: Convert to fraction form
    1,025.53/1,536.77 = 538.92/x
  3. Step 3: Cross multiply
    1,025.53x = 1,536.77 × 538.92
  4. Step 4: Simplify right side
    1,025.53x = 828,197.44
  5. Step 5: Solve for x
    x = 828,197.44/1,025.53
  6. Step 6: Final answer
    x = 807.58

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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.