Home / 1,484.30-2,226.45-828.20

Finding the Fourth Proportional to 1,484.30, 2,226.45 and 828.20

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Solution

The fourth proportional to 1,484.30, 2,226.45 and 828.20 is: 1,242.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.30 : 2,226.45 = 828.20 : x
  2. Step 2: Convert to fraction form
    1,484.30/2,226.45 = 828.20/x
  3. Step 3: Cross multiply
    1,484.30x = 2,226.45 × 828.20
  4. Step 4: Simplify right side
    1,484.30x = 1,843,945.89
  5. Step 5: Solve for x
    x = 1,843,945.89/1,484.30
  6. Step 6: Final answer
    x = 1,242.30

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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.