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Finding the Fourth Proportional to 2,201.84, 3,302.76 and 558.51

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Solution

The fourth proportional to 2,201.84, 3,302.76 and 558.51 is: 837.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.84 : 3,302.76 = 558.51 : x
  2. Step 2: Convert to fraction form
    2,201.84/3,302.76 = 558.51/x
  3. Step 3: Cross multiply
    2,201.84x = 3,302.76 × 558.51
  4. Step 4: Simplify right side
    2,201.84x = 1,844,624.49
  5. Step 5: Solve for x
    x = 1,844,624.49/2,201.84
  6. Step 6: Final answer
    x = 837.77

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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.