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Finding the Fourth Proportional to 1,159.64, 1,736.06 and 768.90

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Solution

The fourth proportional to 1,159.64, 1,736.06 and 768.90 is: 1,151.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.64 : 1,736.06 = 768.90 : x
  2. Step 2: Convert to fraction form
    1,159.64/1,736.06 = 768.90/x
  3. Step 3: Cross multiply
    1,159.64x = 1,736.06 × 768.90
  4. Step 4: Simplify right side
    1,159.64x = 1,334,852.69
  5. Step 5: Solve for x
    x = 1,334,852.69/1,159.64
  6. Step 6: Final answer
    x = 1,151.10

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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.