Home / 1,390.24-2,085-416.44

Finding the Fourth Proportional to 1,390.24, 2,085 and 416.44

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Solution

The fourth proportional to 1,390.24, 2,085 and 416.44 is: 624.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.24 : 2,085 = 416.44 : x
  2. Step 2: Convert to fraction form
    1,390.24/2,085 = 416.44/x
  3. Step 3: Cross multiply
    1,390.24x = 2,085 × 416.44
  4. Step 4: Simplify right side
    1,390.24x = 868,277.40
  5. Step 5: Solve for x
    x = 868,277.40/1,390.24
  6. Step 6: Final answer
    x = 624.55

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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.