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Finding the Fourth Proportional to 1,838.94, 2,758.33 and 522.70

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Solution

The fourth proportional to 1,838.94, 2,758.33 and 522.70 is: 784.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.94 : 2,758.33 = 522.70 : x
  2. Step 2: Convert to fraction form
    1,838.94/2,758.33 = 522.70/x
  3. Step 3: Cross multiply
    1,838.94x = 2,758.33 × 522.70
  4. Step 4: Simplify right side
    1,838.94x = 1,441,779.09
  5. Step 5: Solve for x
    x = 1,441,779.09/1,838.94
  6. Step 6: Final answer
    x = 784.03

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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.