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Finding the Fourth Proportional to 2,019.52, 3,029.42 and 558.64

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Solution

The fourth proportional to 2,019.52, 3,029.42 and 558.64 is: 838.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.52 : 3,029.42 = 558.64 : x
  2. Step 2: Convert to fraction form
    2,019.52/3,029.42 = 558.64/x
  3. Step 3: Cross multiply
    2,019.52x = 3,029.42 × 558.64
  4. Step 4: Simplify right side
    2,019.52x = 1,692,355.19
  5. Step 5: Solve for x
    x = 1,692,355.19/2,019.52
  6. Step 6: Final answer
    x = 838.00

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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.