Home / 1,020.46-1,530.75-290.09

Finding the Fourth Proportional to 1,020.46, 1,530.75 and 290.09

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Solution

The fourth proportional to 1,020.46, 1,530.75 and 290.09 is: 435.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.46 : 1,530.75 = 290.09 : x
  2. Step 2: Convert to fraction form
    1,020.46/1,530.75 = 290.09/x
  3. Step 3: Cross multiply
    1,020.46x = 1,530.75 × 290.09
  4. Step 4: Simplify right side
    1,020.46x = 444,055.27
  5. Step 5: Solve for x
    x = 444,055.27/1,020.46
  6. Step 6: Final answer
    x = 435.15

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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.