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Finding the Fourth Proportional to 1,089.56, 1,633.80 and 386.66

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Solution

The fourth proportional to 1,089.56, 1,633.80 and 386.66 is: 579.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.56 : 1,633.80 = 386.66 : x
  2. Step 2: Convert to fraction form
    1,089.56/1,633.80 = 386.66/x
  3. Step 3: Cross multiply
    1,089.56x = 1,633.80 × 386.66
  4. Step 4: Simplify right side
    1,089.56x = 631,725.11
  5. Step 5: Solve for x
    x = 631,725.11/1,089.56
  6. Step 6: Final answer
    x = 579.80

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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.