Home / 1,284.14-1,925.80-418.26

Finding the Fourth Proportional to 1,284.14, 1,925.80 and 418.26

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Solution

The fourth proportional to 1,284.14, 1,925.80 and 418.26 is: 627.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.14 : 1,925.80 = 418.26 : x
  2. Step 2: Convert to fraction form
    1,284.14/1,925.80 = 418.26/x
  3. Step 3: Cross multiply
    1,284.14x = 1,925.80 × 418.26
  4. Step 4: Simplify right side
    1,284.14x = 805,485.11
  5. Step 5: Solve for x
    x = 805,485.11/1,284.14
  6. Step 6: Final answer
    x = 627.26

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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.