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Finding the Fourth Proportional to 1,205.41, 1,804.77 and 619.15

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Solution

The fourth proportional to 1,205.41, 1,804.77 and 619.15 is: 927.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.41 : 1,804.77 = 619.15 : x
  2. Step 2: Convert to fraction form
    1,205.41/1,804.77 = 619.15/x
  3. Step 3: Cross multiply
    1,205.41x = 1,804.77 × 619.15
  4. Step 4: Simplify right side
    1,205.41x = 1,117,423.35
  5. Step 5: Solve for x
    x = 1,117,423.35/1,205.41
  6. Step 6: Final answer
    x = 927.01

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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.