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Finding the Fourth Proportional to 577.87, 867.21 and 448.17

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Solution

The fourth proportional to 577.87, 867.21 and 448.17 is: 672.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.87 : 867.21 = 448.17 : x
  2. Step 2: Convert to fraction form
    577.87/867.21 = 448.17/x
  3. Step 3: Cross multiply
    577.87x = 867.21 × 448.17
  4. Step 4: Simplify right side
    577.87x = 388,657.51
  5. Step 5: Solve for x
    x = 388,657.51/577.87
  6. Step 6: Final answer
    x = 672.57

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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.