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Finding the Fourth Proportional to 1,195.00, 1,648.71 and 775.69

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Solution

The fourth proportional to 1,195.00, 1,648.71 and 775.69 is: 1,070.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.00 : 1,648.71 = 775.69 : x
  2. Step 2: Convert to fraction form
    1,195.00/1,648.71 = 775.69/x
  3. Step 3: Cross multiply
    1,195.00x = 1,648.71 × 775.69
  4. Step 4: Simplify right side
    1,195.00x = 1,278,883.74
  5. Step 5: Solve for x
    x = 1,278,883.74/1,195.00
  6. Step 6: Final answer
    x = 1,070.20

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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.