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Finding the Fourth Proportional to 1,234.18, 1,851.09 and 464.50

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Solution

The fourth proportional to 1,234.18, 1,851.09 and 464.50 is: 696.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.18 : 1,851.09 = 464.50 : x
  2. Step 2: Convert to fraction form
    1,234.18/1,851.09 = 464.50/x
  3. Step 3: Cross multiply
    1,234.18x = 1,851.09 × 464.50
  4. Step 4: Simplify right side
    1,234.18x = 859,831.31
  5. Step 5: Solve for x
    x = 859,831.31/1,234.18
  6. Step 6: Final answer
    x = 696.68

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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.