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Finding the Fourth Proportional to 1,254.78, 1,882.53 and 523.98

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Solution

The fourth proportional to 1,254.78, 1,882.53 and 523.98 is: 786.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.78 : 1,882.53 = 523.98 : x
  2. Step 2: Convert to fraction form
    1,254.78/1,882.53 = 523.98/x
  3. Step 3: Cross multiply
    1,254.78x = 1,882.53 × 523.98
  4. Step 4: Simplify right side
    1,254.78x = 986,408.07
  5. Step 5: Solve for x
    x = 986,408.07/1,254.78
  6. Step 6: Final answer
    x = 786.12

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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.