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Finding the Fourth Proportional to 1,246.99, 1,867.60 and 759.17

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Solution

The fourth proportional to 1,246.99, 1,867.60 and 759.17 is: 1,137.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.99 : 1,867.60 = 759.17 : x
  2. Step 2: Convert to fraction form
    1,246.99/1,867.60 = 759.17/x
  3. Step 3: Cross multiply
    1,246.99x = 1,867.60 × 759.17
  4. Step 4: Simplify right side
    1,246.99x = 1,417,825.89
  5. Step 5: Solve for x
    x = 1,417,825.89/1,246.99
  6. Step 6: Final answer
    x = 1,137.00

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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.