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Finding the Fourth Proportional to 1,216, 1,823.90 and 394.26

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Solution

The fourth proportional to 1,216, 1,823.90 and 394.26 is: 591.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216 : 1,823.90 = 394.26 : x
  2. Step 2: Convert to fraction form
    1,216/1,823.90 = 394.26/x
  3. Step 3: Cross multiply
    1,216x = 1,823.90 × 394.26
  4. Step 4: Simplify right side
    1,216x = 719,090.81
  5. Step 5: Solve for x
    x = 719,090.81/1,216
  6. Step 6: Final answer
    x = 591.36

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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.