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Finding the Fourth Proportional to 1,159.60, 1,736.28 and 812.20

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Solution

The fourth proportional to 1,159.60, 1,736.28 and 812.20 is: 1,216.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.60 : 1,736.28 = 812.20 : x
  2. Step 2: Convert to fraction form
    1,159.60/1,736.28 = 812.20/x
  3. Step 3: Cross multiply
    1,159.60x = 1,736.28 × 812.20
  4. Step 4: Simplify right side
    1,159.60x = 1,410,206.62
  5. Step 5: Solve for x
    x = 1,410,206.62/1,159.60
  6. Step 6: Final answer
    x = 1,216.11

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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.