Home / 1,288.72-1,933.08-314.80

Finding the Fourth Proportional to 1,288.72, 1,933.08 and 314.80

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Solution

The fourth proportional to 1,288.72, 1,933.08 and 314.80 is: 472.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.72 : 1,933.08 = 314.80 : x
  2. Step 2: Convert to fraction form
    1,288.72/1,933.08 = 314.80/x
  3. Step 3: Cross multiply
    1,288.72x = 1,933.08 × 314.80
  4. Step 4: Simplify right side
    1,288.72x = 608,533.58
  5. Step 5: Solve for x
    x = 608,533.58/1,288.72
  6. Step 6: Final answer
    x = 472.20

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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.