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Finding the Fourth Proportional to 1,086.76, 1,629.64 and 538.75

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Solution

The fourth proportional to 1,086.76, 1,629.64 and 538.75 is: 807.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.76 : 1,629.64 = 538.75 : x
  2. Step 2: Convert to fraction form
    1,086.76/1,629.64 = 538.75/x
  3. Step 3: Cross multiply
    1,086.76x = 1,629.64 × 538.75
  4. Step 4: Simplify right side
    1,086.76x = 877,968.55
  5. Step 5: Solve for x
    x = 877,968.55/1,086.76
  6. Step 6: Final answer
    x = 807.88

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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.