Home / 1,023.32-1,534.60-406.84

Finding the Fourth Proportional to 1,023.32, 1,534.60 and 406.84

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Solution

The fourth proportional to 1,023.32, 1,534.60 and 406.84 is: 610.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.32 : 1,534.60 = 406.84 : x
  2. Step 2: Convert to fraction form
    1,023.32/1,534.60 = 406.84/x
  3. Step 3: Cross multiply
    1,023.32x = 1,534.60 × 406.84
  4. Step 4: Simplify right side
    1,023.32x = 624,336.66
  5. Step 5: Solve for x
    x = 624,336.66/1,023.32
  6. Step 6: Final answer
    x = 610.11

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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.