Home / 1,025.28-1,538.67-828.06

Finding the Fourth Proportional to 1,025.28, 1,538.67 and 828.06

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Solution

The fourth proportional to 1,025.28, 1,538.67 and 828.06 is: 1,242.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.28 : 1,538.67 = 828.06 : x
  2. Step 2: Convert to fraction form
    1,025.28/1,538.67 = 828.06/x
  3. Step 3: Cross multiply
    1,025.28x = 1,538.67 × 828.06
  4. Step 4: Simplify right side
    1,025.28x = 1,274,111.08
  5. Step 5: Solve for x
    x = 1,274,111.08/1,025.28
  6. Step 6: Final answer
    x = 1,242.70

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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.