Home / 1,005.12-1,504.80-928.56

Finding the Fourth Proportional to 1,005.12, 1,504.80 and 928.56

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Solution

The fourth proportional to 1,005.12, 1,504.80 and 928.56 is: 1,390.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.12 : 1,504.80 = 928.56 : x
  2. Step 2: Convert to fraction form
    1,005.12/1,504.80 = 928.56/x
  3. Step 3: Cross multiply
    1,005.12x = 1,504.80 × 928.56
  4. Step 4: Simplify right side
    1,005.12x = 1,397,297.09
  5. Step 5: Solve for x
    x = 1,397,297.09/1,005.12
  6. Step 6: Final answer
    x = 1,390.18

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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.