Home / 1,021.51-1,531.13-405.05

Finding the Fourth Proportional to 1,021.51, 1,531.13 and 405.05

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Solution

The fourth proportional to 1,021.51, 1,531.13 and 405.05 is: 607.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.51 : 1,531.13 = 405.05 : x
  2. Step 2: Convert to fraction form
    1,021.51/1,531.13 = 405.05/x
  3. Step 3: Cross multiply
    1,021.51x = 1,531.13 × 405.05
  4. Step 4: Simplify right side
    1,021.51x = 620,184.28
  5. Step 5: Solve for x
    x = 620,184.28/1,021.51
  6. Step 6: Final answer
    x = 607.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.