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Finding the Fourth Proportional to 2,200.51, 3,300.87 and 557.07

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Solution

The fourth proportional to 2,200.51, 3,300.87 and 557.07 is: 835.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.51 : 3,300.87 = 557.07 : x
  2. Step 2: Convert to fraction form
    2,200.51/3,300.87 = 557.07/x
  3. Step 3: Cross multiply
    2,200.51x = 3,300.87 × 557.07
  4. Step 4: Simplify right side
    2,200.51x = 1,838,815.65
  5. Step 5: Solve for x
    x = 1,838,815.65/2,200.51
  6. Step 6: Final answer
    x = 835.63

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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.