Home / 1,086.17-1,629.43-538.39

Finding the Fourth Proportional to 1,086.17, 1,629.43 and 538.39

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Solution

The fourth proportional to 1,086.17, 1,629.43 and 538.39 is: 807.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.17 : 1,629.43 = 538.39 : x
  2. Step 2: Convert to fraction form
    1,086.17/1,629.43 = 538.39/x
  3. Step 3: Cross multiply
    1,086.17x = 1,629.43 × 538.39
  4. Step 4: Simplify right side
    1,086.17x = 877,263.40
  5. Step 5: Solve for x
    x = 877,263.40/1,086.17
  6. Step 6: Final answer
    x = 807.66

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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.