Home / 1,295.40-1,943.46-429.78

Finding the Fourth Proportional to 1,295.40, 1,943.46 and 429.78

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Solution

The fourth proportional to 1,295.40, 1,943.46 and 429.78 is: 644.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.40 : 1,943.46 = 429.78 : x
  2. Step 2: Convert to fraction form
    1,295.40/1,943.46 = 429.78/x
  3. Step 3: Cross multiply
    1,295.40x = 1,943.46 × 429.78
  4. Step 4: Simplify right side
    1,295.40x = 835,260.24
  5. Step 5: Solve for x
    x = 835,260.24/1,295.40
  6. Step 6: Final answer
    x = 644.79

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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.