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Finding the Fourth Proportional to 1,482.81, 2,224.12 and 442.81

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Solution

The fourth proportional to 1,482.81, 2,224.12 and 442.81 is: 664.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,482.81 : 2,224.12 = 442.81 : x
  2. Step 2: Convert to fraction form
    1,482.81/2,224.12 = 442.81/x
  3. Step 3: Cross multiply
    1,482.81x = 2,224.12 × 442.81
  4. Step 4: Simplify right side
    1,482.81x = 984,862.58
  5. Step 5: Solve for x
    x = 984,862.58/1,482.81
  6. Step 6: Final answer
    x = 664.19

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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.