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Finding the Fourth Proportional to 2,030.77, 3,046.38 and 644.23

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Solution

The fourth proportional to 2,030.77, 3,046.38 and 644.23 is: 966.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.77 : 3,046.38 = 644.23 : x
  2. Step 2: Convert to fraction form
    2,030.77/3,046.38 = 644.23/x
  3. Step 3: Cross multiply
    2,030.77x = 3,046.38 × 644.23
  4. Step 4: Simplify right side
    2,030.77x = 1,962,569.39
  5. Step 5: Solve for x
    x = 1,962,569.39/2,030.77
  6. Step 6: Final answer
    x = 966.42

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1.5x scale

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.