Home / 1,057.17-1,584.60-363.18

Finding the Fourth Proportional to 1,057.17, 1,584.60 and 363.18

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Solution

The fourth proportional to 1,057.17, 1,584.60 and 363.18 is: 544.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.17 : 1,584.60 = 363.18 : x
  2. Step 2: Convert to fraction form
    1,057.17/1,584.60 = 363.18/x
  3. Step 3: Cross multiply
    1,057.17x = 1,584.60 × 363.18
  4. Step 4: Simplify right side
    1,057.17x = 575,495.03
  5. Step 5: Solve for x
    x = 575,495.03/1,057.17
  6. Step 6: Final answer
    x = 544.37

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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.