Home / 1,440.06-2,158.02-822.48

Finding the Fourth Proportional to 1,440.06, 2,158.02 and 822.48

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Solution

The fourth proportional to 1,440.06, 2,158.02 and 822.48 is: 1,232.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.06 : 2,158.02 = 822.48 : x
  2. Step 2: Convert to fraction form
    1,440.06/2,158.02 = 822.48/x
  3. Step 3: Cross multiply
    1,440.06x = 2,158.02 × 822.48
  4. Step 4: Simplify right side
    1,440.06x = 1,774,928.29
  5. Step 5: Solve for x
    x = 1,774,928.29/1,440.06
  6. Step 6: Final answer
    x = 1,232.54

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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.