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Finding the Fourth Proportional to 1,086.94, 1,629.44 and 501.65

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Solution

The fourth proportional to 1,086.94, 1,629.44 and 501.65 is: 752.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.94 : 1,629.44 = 501.65 : x
  2. Step 2: Convert to fraction form
    1,086.94/1,629.44 = 501.65/x
  3. Step 3: Cross multiply
    1,086.94x = 1,629.44 × 501.65
  4. Step 4: Simplify right side
    1,086.94x = 817,408.47
  5. Step 5: Solve for x
    x = 817,408.47/1,086.94
  6. Step 6: Final answer
    x = 752.02

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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.