Home / 1,020.75-1,531.17-290.26

Finding the Fourth Proportional to 1,020.75, 1,531.17 and 290.26

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Solution

The fourth proportional to 1,020.75, 1,531.17 and 290.26 is: 435.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.75 : 1,531.17 = 290.26 : x
  2. Step 2: Convert to fraction form
    1,020.75/1,531.17 = 290.26/x
  3. Step 3: Cross multiply
    1,020.75x = 1,531.17 × 290.26
  4. Step 4: Simplify right side
    1,020.75x = 444,437.40
  5. Step 5: Solve for x
    x = 444,437.40/1,020.75
  6. Step 6: Final answer
    x = 435.40

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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.