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Finding the Fourth Proportional to 1,109.03, 1,662.14 and 589.28

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Solution

The fourth proportional to 1,109.03, 1,662.14 and 589.28 is: 883.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.03 : 1,662.14 = 589.28 : x
  2. Step 2: Convert to fraction form
    1,109.03/1,662.14 = 589.28/x
  3. Step 3: Cross multiply
    1,109.03x = 1,662.14 × 589.28
  4. Step 4: Simplify right side
    1,109.03x = 979,454.60
  5. Step 5: Solve for x
    x = 979,454.60/1,109.03
  6. Step 6: Final answer
    x = 883.17

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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.