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Finding the Fourth Proportional to 1,359.87, 2,040.72 and 619.17

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Solution

The fourth proportional to 1,359.87, 2,040.72 and 619.17 is: 929.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.87 : 2,040.72 = 619.17 : x
  2. Step 2: Convert to fraction form
    1,359.87/2,040.72 = 619.17/x
  3. Step 3: Cross multiply
    1,359.87x = 2,040.72 × 619.17
  4. Step 4: Simplify right side
    1,359.87x = 1,263,552.60
  5. Step 5: Solve for x
    x = 1,263,552.60/1,359.87
  6. Step 6: Final answer
    x = 929.17

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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.