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Finding the Fourth Proportional to 1,124.84, 1,687.06 and 344.66

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Solution

The fourth proportional to 1,124.84, 1,687.06 and 344.66 is: 516.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.84 : 1,687.06 = 344.66 : x
  2. Step 2: Convert to fraction form
    1,124.84/1,687.06 = 344.66/x
  3. Step 3: Cross multiply
    1,124.84x = 1,687.06 × 344.66
  4. Step 4: Simplify right side
    1,124.84x = 581,451.94
  5. Step 5: Solve for x
    x = 581,451.94/1,124.84
  6. Step 6: Final answer
    x = 516.92

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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.