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Finding the Fourth Proportional to 1,634.46, 2,451.69 and 538.23

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Solution

The fourth proportional to 1,634.46, 2,451.69 and 538.23 is: 807.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.46 : 2,451.69 = 538.23 : x
  2. Step 2: Convert to fraction form
    1,634.46/2,451.69 = 538.23/x
  3. Step 3: Cross multiply
    1,634.46x = 2,451.69 × 538.23
  4. Step 4: Simplify right side
    1,634.46x = 1,319,573.11
  5. Step 5: Solve for x
    x = 1,319,573.11/1,634.46
  6. Step 6: Final answer
    x = 807.35

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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.