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Finding the Fourth Proportional to 1,234.43, 1,851.66 and 690.07

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Solution

The fourth proportional to 1,234.43, 1,851.66 and 690.07 is: 1,035.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.43 : 1,851.66 = 690.07 : x
  2. Step 2: Convert to fraction form
    1,234.43/1,851.66 = 690.07/x
  3. Step 3: Cross multiply
    1,234.43x = 1,851.66 × 690.07
  4. Step 4: Simplify right side
    1,234.43x = 1,277,775.02
  5. Step 5: Solve for x
    x = 1,277,775.02/1,234.43
  6. Step 6: Final answer
    x = 1,035.11

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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.