Home / 1,288.21-1,932.46-410.40

Finding the Fourth Proportional to 1,288.21, 1,932.46 and 410.40

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Solution

The fourth proportional to 1,288.21, 1,932.46 and 410.40 is: 615.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.21 : 1,932.46 = 410.40 : x
  2. Step 2: Convert to fraction form
    1,288.21/1,932.46 = 410.40/x
  3. Step 3: Cross multiply
    1,288.21x = 1,932.46 × 410.40
  4. Step 4: Simplify right side
    1,288.21x = 793,081.58
  5. Step 5: Solve for x
    x = 793,081.58/1,288.21
  6. Step 6: Final answer
    x = 615.65

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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.