Home / 1,230.21-1,845.29-305.77

Finding the Fourth Proportional to 1,230.21, 1,845.29 and 305.77

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Solution

The fourth proportional to 1,230.21, 1,845.29 and 305.77 is: 458.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.21 : 1,845.29 = 305.77 : x
  2. Step 2: Convert to fraction form
    1,230.21/1,845.29 = 305.77/x
  3. Step 3: Cross multiply
    1,230.21x = 1,845.29 × 305.77
  4. Step 4: Simplify right side
    1,230.21x = 564,228.18
  5. Step 5: Solve for x
    x = 564,228.18/1,230.21
  6. Step 6: Final answer
    x = 458.64

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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.