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Finding the Fourth Proportional to 1,267.00, 1,900.50 and 342.56

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Solution

The fourth proportional to 1,267.00, 1,900.50 and 342.56 is: 513.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.00 : 1,900.50 = 342.56 : x
  2. Step 2: Convert to fraction form
    1,267.00/1,900.50 = 342.56/x
  3. Step 3: Cross multiply
    1,267.00x = 1,900.50 × 342.56
  4. Step 4: Simplify right side
    1,267.00x = 651,032.17
  5. Step 5: Solve for x
    x = 651,032.17/1,267.00
  6. Step 6: Final answer
    x = 513.84

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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.