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Finding the Fourth Proportional to 1,234.77, 1,851.74 and 504.15

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Solution

The fourth proportional to 1,234.77, 1,851.74 and 504.15 is: 756.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.77 : 1,851.74 = 504.15 : x
  2. Step 2: Convert to fraction form
    1,234.77/1,851.74 = 504.15/x
  3. Step 3: Cross multiply
    1,234.77x = 1,851.74 × 504.15
  4. Step 4: Simplify right side
    1,234.77x = 933,554.72
  5. Step 5: Solve for x
    x = 933,554.72/1,234.77
  6. Step 6: Final answer
    x = 756.06

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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.