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Finding the Fourth Proportional to 1,254.03, 1,880.61 and 523.41

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Solution

The fourth proportional to 1,254.03, 1,880.61 and 523.41 is: 784.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.03 : 1,880.61 = 523.41 : x
  2. Step 2: Convert to fraction form
    1,254.03/1,880.61 = 523.41/x
  3. Step 3: Cross multiply
    1,254.03x = 1,880.61 × 523.41
  4. Step 4: Simplify right side
    1,254.03x = 984,330.08
  5. Step 5: Solve for x
    x = 984,330.08/1,254.03
  6. Step 6: Final answer
    x = 784.93

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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.