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Finding the Fourth Proportional to 1,145, 1,579.34 and 766.90

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Solution

The fourth proportional to 1,145, 1,579.34 and 766.90 is: 1,057.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145 : 1,579.34 = 766.90 : x
  2. Step 2: Convert to fraction form
    1,145/1,579.34 = 766.90/x
  3. Step 3: Cross multiply
    1,145x = 1,579.34 × 766.90
  4. Step 4: Simplify right side
    1,145x = 1,211,195.85
  5. Step 5: Solve for x
    x = 1,211,195.85/1,145
  6. Step 6: Final answer
    x = 1,057.81

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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.