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Finding the Fourth Proportional to 1,086.05, 1,628.91 and 355.63

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Solution

The fourth proportional to 1,086.05, 1,628.91 and 355.63 is: 533.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.05 : 1,628.91 = 355.63 : x
  2. Step 2: Convert to fraction form
    1,086.05/1,628.91 = 355.63/x
  3. Step 3: Cross multiply
    1,086.05x = 1,628.91 × 355.63
  4. Step 4: Simplify right side
    1,086.05x = 579,281.12
  5. Step 5: Solve for x
    x = 579,281.12/1,086.05
  6. Step 6: Final answer
    x = 533.38

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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.