Home / 1,021.20-1,531.86-290.82

Finding the Fourth Proportional to 1,021.20, 1,531.86 and 290.82

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Solution

The fourth proportional to 1,021.20, 1,531.86 and 290.82 is: 436.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.20 : 1,531.86 = 290.82 : x
  2. Step 2: Convert to fraction form
    1,021.20/1,531.86 = 290.82/x
  3. Step 3: Cross multiply
    1,021.20x = 1,531.86 × 290.82
  4. Step 4: Simplify right side
    1,021.20x = 445,495.53
  5. Step 5: Solve for x
    x = 445,495.53/1,021.20
  6. Step 6: Final answer
    x = 436.25

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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.