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Finding the Fourth Proportional to 1,202.65, 1,804.25 and 381.01

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Solution

The fourth proportional to 1,202.65, 1,804.25 and 381.01 is: 571.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.65 : 1,804.25 = 381.01 : x
  2. Step 2: Convert to fraction form
    1,202.65/1,804.25 = 381.01/x
  3. Step 3: Cross multiply
    1,202.65x = 1,804.25 × 381.01
  4. Step 4: Simplify right side
    1,202.65x = 687,437.29
  5. Step 5: Solve for x
    x = 687,437.29/1,202.65
  6. Step 6: Final answer
    x = 571.60

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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.