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Finding the Fourth Proportional to 1,234.83, 1,700.63 and 1,142.49

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Solution

The fourth proportional to 1,234.83, 1,700.63 and 1,142.49 is: 1,573.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.83 : 1,700.63 = 1,142.49 : x
  2. Step 2: Convert to fraction form
    1,234.83/1,700.63 = 1,142.49/x
  3. Step 3: Cross multiply
    1,234.83x = 1,700.63 × 1,142.49
  4. Step 4: Simplify right side
    1,234.83x = 1,942,955.62
  5. Step 5: Solve for x
    x = 1,942,955.62/1,234.83
  6. Step 6: Final answer
    x = 1,573.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.