Home / 1,299.19-1,947.59-477.24

Finding the Fourth Proportional to 1,299.19, 1,947.59 and 477.24

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Solution

The fourth proportional to 1,299.19, 1,947.59 and 477.24 is: 715.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.19 : 1,947.59 = 477.24 : x
  2. Step 2: Convert to fraction form
    1,299.19/1,947.59 = 477.24/x
  3. Step 3: Cross multiply
    1,299.19x = 1,947.59 × 477.24
  4. Step 4: Simplify right side
    1,299.19x = 929,473.59
  5. Step 5: Solve for x
    x = 929,473.59/1,299.19
  6. Step 6: Final answer
    x = 715.43

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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.