Home / 1,440.16-2,162.40-824.56

Finding the Fourth Proportional to 1,440.16, 2,162.40 and 824.56

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Solution

The fourth proportional to 1,440.16, 2,162.40 and 824.56 is: 1,238.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.16 : 2,162.40 = 824.56 : x
  2. Step 2: Convert to fraction form
    1,440.16/2,162.40 = 824.56/x
  3. Step 3: Cross multiply
    1,440.16x = 2,162.40 × 824.56
  4. Step 4: Simplify right side
    1,440.16x = 1,783,028.54
  5. Step 5: Solve for x
    x = 1,783,028.54/1,440.16
  6. Step 6: Final answer
    x = 1,238.08

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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.