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Finding the Fourth Proportional to 1,109.43, 1,530.98 and 605.27

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Solution

The fourth proportional to 1,109.43, 1,530.98 and 605.27 is: 835.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.43 : 1,530.98 = 605.27 : x
  2. Step 2: Convert to fraction form
    1,109.43/1,530.98 = 605.27/x
  3. Step 3: Cross multiply
    1,109.43x = 1,530.98 × 605.27
  4. Step 4: Simplify right side
    1,109.43x = 926,656.26
  5. Step 5: Solve for x
    x = 926,656.26/1,109.43
  6. Step 6: Final answer
    x = 835.25

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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.