Home / 1,021.40-1,531.90-291.05

Finding the Fourth Proportional to 1,021.40, 1,531.90 and 291.05

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Solution

The fourth proportional to 1,021.40, 1,531.90 and 291.05 is: 436.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.40 : 1,531.90 = 291.05 : x
  2. Step 2: Convert to fraction form
    1,021.40/1,531.90 = 291.05/x
  3. Step 3: Cross multiply
    1,021.40x = 1,531.90 × 291.05
  4. Step 4: Simplify right side
    1,021.40x = 445,862.60
  5. Step 5: Solve for x
    x = 445,862.60/1,021.40
  6. Step 6: Final answer
    x = 436.52

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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.