Home / 1,440.98-2,160.24-825.60

Finding the Fourth Proportional to 1,440.98, 2,160.24 and 825.60

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Solution

The fourth proportional to 1,440.98, 2,160.24 and 825.60 is: 1,237.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.98 : 2,160.24 = 825.60 : x
  2. Step 2: Convert to fraction form
    1,440.98/2,160.24 = 825.60/x
  3. Step 3: Cross multiply
    1,440.98x = 2,160.24 × 825.60
  4. Step 4: Simplify right side
    1,440.98x = 1,783,494.14
  5. Step 5: Solve for x
    x = 1,783,494.14/1,440.98
  6. Step 6: Final answer
    x = 1,237.70

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1.5x scale

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.