Home / 1,020.48-1,530.78-280.20

Finding the Fourth Proportional to 1,020.48, 1,530.78 and 280.20

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Solution

The fourth proportional to 1,020.48, 1,530.78 and 280.20 is: 420.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.48 : 1,530.78 = 280.20 : x
  2. Step 2: Convert to fraction form
    1,020.48/1,530.78 = 280.20/x
  3. Step 3: Cross multiply
    1,020.48x = 1,530.78 × 280.20
  4. Step 4: Simplify right side
    1,020.48x = 428,924.56
  5. Step 5: Solve for x
    x = 428,924.56/1,020.48
  6. Step 6: Final answer
    x = 420.32

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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.