Home / 1,440.08-2,160.57-822.86

Finding the Fourth Proportional to 1,440.08, 2,160.57 and 822.86

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Solution

The fourth proportional to 1,440.08, 2,160.57 and 822.86 is: 1,234.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.08 : 2,160.57 = 822.86 : x
  2. Step 2: Convert to fraction form
    1,440.08/2,160.57 = 822.86/x
  3. Step 3: Cross multiply
    1,440.08x = 2,160.57 × 822.86
  4. Step 4: Simplify right side
    1,440.08x = 1,777,847.02
  5. Step 5: Solve for x
    x = 1,777,847.02/1,440.08
  6. Step 6: Final answer
    x = 1,234.55

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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.