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Finding the Fourth Proportional to 1,209.12, 1,665.45 and 859.20

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Solution

The fourth proportional to 1,209.12, 1,665.45 and 859.20 is: 1,183.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.12 : 1,665.45 = 859.20 : x
  2. Step 2: Convert to fraction form
    1,209.12/1,665.45 = 859.20/x
  3. Step 3: Cross multiply
    1,209.12x = 1,665.45 × 859.20
  4. Step 4: Simplify right side
    1,209.12x = 1,430,954.64
  5. Step 5: Solve for x
    x = 1,430,954.64/1,209.12
  6. Step 6: Final answer
    x = 1,183.47

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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.