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Finding the Fourth Proportional to 2,015.80, 3,023.46 and 554.80

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Solution

The fourth proportional to 2,015.80, 3,023.46 and 554.80 is: 832.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.80 : 3,023.46 = 554.80 : x
  2. Step 2: Convert to fraction form
    2,015.80/3,023.46 = 554.80/x
  3. Step 3: Cross multiply
    2,015.80x = 3,023.46 × 554.80
  4. Step 4: Simplify right side
    2,015.80x = 1,677,415.61
  5. Step 5: Solve for x
    x = 1,677,415.61/2,015.80
  6. Step 6: Final answer
    x = 832.13

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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.