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Finding the Fourth Proportional to 1,102.02, 1,650.33 and 523.50

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Solution

The fourth proportional to 1,102.02, 1,650.33 and 523.50 is: 783.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.02 : 1,650.33 = 523.50 : x
  2. Step 2: Convert to fraction form
    1,102.02/1,650.33 = 523.50/x
  3. Step 3: Cross multiply
    1,102.02x = 1,650.33 × 523.50
  4. Step 4: Simplify right side
    1,102.02x = 863,947.76
  5. Step 5: Solve for x
    x = 863,947.76/1,102.02
  6. Step 6: Final answer
    x = 783.97

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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.