Home / 1,055.35-1,583.21-362.09

Finding the Fourth Proportional to 1,055.35, 1,583.21 and 362.09

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Solution

The fourth proportional to 1,055.35, 1,583.21 and 362.09 is: 543.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.35 : 1,583.21 = 362.09 : x
  2. Step 2: Convert to fraction form
    1,055.35/1,583.21 = 362.09/x
  3. Step 3: Cross multiply
    1,055.35x = 1,583.21 × 362.09
  4. Step 4: Simplify right side
    1,055.35x = 573,254.78
  5. Step 5: Solve for x
    x = 573,254.78/1,055.35
  6. Step 6: Final answer
    x = 543.19

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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.