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Finding the Fourth Proportional to 1,477.96, 2,216.94 and 382.24

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Solution

The fourth proportional to 1,477.96, 2,216.94 and 382.24 is: 573.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.96 : 2,216.94 = 382.24 : x
  2. Step 2: Convert to fraction form
    1,477.96/2,216.94 = 382.24/x
  3. Step 3: Cross multiply
    1,477.96x = 2,216.94 × 382.24
  4. Step 4: Simplify right side
    1,477.96x = 847,403.15
  5. Step 5: Solve for x
    x = 847,403.15/1,477.96
  6. Step 6: Final answer
    x = 573.36

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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.