Home / 1,020.89-1,531.13-290.27

Finding the Fourth Proportional to 1,020.89, 1,531.13 and 290.27

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Solution

The fourth proportional to 1,020.89, 1,531.13 and 290.27 is: 435.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.89 : 1,531.13 = 290.27 : x
  2. Step 2: Convert to fraction form
    1,020.89/1,531.13 = 290.27/x
  3. Step 3: Cross multiply
    1,020.89x = 1,531.13 × 290.27
  4. Step 4: Simplify right side
    1,020.89x = 444,443.48
  5. Step 5: Solve for x
    x = 444,443.48/1,020.89
  6. Step 6: Final answer
    x = 435.35

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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.