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Finding the Fourth Proportional to 1,086.58, 1,499.44 and 589.21

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Solution

The fourth proportional to 1,086.58, 1,499.44 and 589.21 is: 813.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.58 : 1,499.44 = 589.21 : x
  2. Step 2: Convert to fraction form
    1,086.58/1,499.44 = 589.21/x
  3. Step 3: Cross multiply
    1,086.58x = 1,499.44 × 589.21
  4. Step 4: Simplify right side
    1,086.58x = 883,485.04
  5. Step 5: Solve for x
    x = 883,485.04/1,086.58
  6. Step 6: Final answer
    x = 813.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.