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Finding the Fourth Proportional to 1,041.87, 1,562.79 and 448.82

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Solution

The fourth proportional to 1,041.87, 1,562.79 and 448.82 is: 673.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.87 : 1,562.79 = 448.82 : x
  2. Step 2: Convert to fraction form
    1,041.87/1,562.79 = 448.82/x
  3. Step 3: Cross multiply
    1,041.87x = 1,562.79 × 448.82
  4. Step 4: Simplify right side
    1,041.87x = 701,403.59
  5. Step 5: Solve for x
    x = 701,403.59/1,041.87
  6. Step 6: Final answer
    x = 673.22

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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.