Home / 1,299.23-1,947.68-477.31

Finding the Fourth Proportional to 1,299.23, 1,947.68 and 477.31

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Solution

The fourth proportional to 1,299.23, 1,947.68 and 477.31 is: 715.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.23 : 1,947.68 = 477.31 : x
  2. Step 2: Convert to fraction form
    1,299.23/1,947.68 = 477.31/x
  3. Step 3: Cross multiply
    1,299.23x = 1,947.68 × 477.31
  4. Step 4: Simplify right side
    1,299.23x = 929,647.14
  5. Step 5: Solve for x
    x = 929,647.14/1,299.23
  6. Step 6: Final answer
    x = 715.54

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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.