Home / 1,415.33-2,122.59-428.11

Finding the Fourth Proportional to 1,415.33, 2,122.59 and 428.11

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Solution

The fourth proportional to 1,415.33, 2,122.59 and 428.11 is: 642.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.33 : 2,122.59 = 428.11 : x
  2. Step 2: Convert to fraction form
    1,415.33/2,122.59 = 428.11/x
  3. Step 3: Cross multiply
    1,415.33x = 2,122.59 × 428.11
  4. Step 4: Simplify right side
    1,415.33x = 908,702.00
  5. Step 5: Solve for x
    x = 908,702.00/1,415.33
  6. Step 6: Final answer
    x = 642.04

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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.