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Finding the Fourth Proportional to 2,030.85, 3,046.44 and 570.12

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Solution

The fourth proportional to 2,030.85, 3,046.44 and 570.12 is: 855.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.85 : 3,046.44 = 570.12 : x
  2. Step 2: Convert to fraction form
    2,030.85/3,046.44 = 570.12/x
  3. Step 3: Cross multiply
    2,030.85x = 3,046.44 × 570.12
  4. Step 4: Simplify right side
    2,030.85x = 1,736,836.37
  5. Step 5: Solve for x
    x = 1,736,836.37/2,030.85
  6. Step 6: Final answer
    x = 855.23

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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.