Home / 1,523.32-2,283.56-828.96

Finding the Fourth Proportional to 1,523.32, 2,283.56 and 828.96

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Solution

The fourth proportional to 1,523.32, 2,283.56 and 828.96 is: 1,242.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.32 : 2,283.56 = 828.96 : x
  2. Step 2: Convert to fraction form
    1,523.32/2,283.56 = 828.96/x
  3. Step 3: Cross multiply
    1,523.32x = 2,283.56 × 828.96
  4. Step 4: Simplify right side
    1,523.32x = 1,892,979.90
  5. Step 5: Solve for x
    x = 1,892,979.90/1,523.32
  6. Step 6: Final answer
    x = 1,242.67

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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.