Home / 1,209.42-1,812.96-387.10

Finding the Fourth Proportional to 1,209.42, 1,812.96 and 387.10

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Solution

The fourth proportional to 1,209.42, 1,812.96 and 387.10 is: 580.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.42 : 1,812.96 = 387.10 : x
  2. Step 2: Convert to fraction form
    1,209.42/1,812.96 = 387.10/x
  3. Step 3: Cross multiply
    1,209.42x = 1,812.96 × 387.10
  4. Step 4: Simplify right side
    1,209.42x = 701,796.82
  5. Step 5: Solve for x
    x = 701,796.82/1,209.42
  6. Step 6: Final answer
    x = 580.28

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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.