Home / 1,020.74-1,531.17-290.30

Finding the Fourth Proportional to 1,020.74, 1,531.17 and 290.30

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Solution

The fourth proportional to 1,020.74, 1,531.17 and 290.30 is: 435.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.74 : 1,531.17 = 290.30 : x
  2. Step 2: Convert to fraction form
    1,020.74/1,531.17 = 290.30/x
  3. Step 3: Cross multiply
    1,020.74x = 1,531.17 × 290.30
  4. Step 4: Simplify right side
    1,020.74x = 444,498.65
  5. Step 5: Solve for x
    x = 444,498.65/1,020.74
  6. Step 6: Final answer
    x = 435.47

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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.