Home / 1,020.87-1,531.10-290.45

Finding the Fourth Proportional to 1,020.87, 1,531.10 and 290.45

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Solution

The fourth proportional to 1,020.87, 1,531.10 and 290.45 is: 435.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.87 : 1,531.10 = 290.45 : x
  2. Step 2: Convert to fraction form
    1,020.87/1,531.10 = 290.45/x
  3. Step 3: Cross multiply
    1,020.87x = 1,531.10 × 290.45
  4. Step 4: Simplify right side
    1,020.87x = 444,712.55
  5. Step 5: Solve for x
    x = 444,712.55/1,020.87
  6. Step 6: Final answer
    x = 435.62

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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.