Home / 1,052.04-1,577.12-403.22

Finding the Fourth Proportional to 1,052.04, 1,577.12 and 403.22

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Solution

The fourth proportional to 1,052.04, 1,577.12 and 403.22 is: 604.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.04 : 1,577.12 = 403.22 : x
  2. Step 2: Convert to fraction form
    1,052.04/1,577.12 = 403.22/x
  3. Step 3: Cross multiply
    1,052.04x = 1,577.12 × 403.22
  4. Step 4: Simplify right side
    1,052.04x = 635,926.33
  5. Step 5: Solve for x
    x = 635,926.33/1,052.04
  6. Step 6: Final answer
    x = 604.47

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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.