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Finding the Fourth Proportional to 1,027.84, 1,541.76 and 344.32

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Solution

The fourth proportional to 1,027.84, 1,541.76 and 344.32 is: 516.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.84 : 1,541.76 = 344.32 : x
  2. Step 2: Convert to fraction form
    1,027.84/1,541.76 = 344.32/x
  3. Step 3: Cross multiply
    1,027.84x = 1,541.76 × 344.32
  4. Step 4: Simplify right side
    1,027.84x = 530,858.80
  5. Step 5: Solve for x
    x = 530,858.80/1,027.84
  6. Step 6: Final answer
    x = 516.48

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1.5x scale

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.