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Finding the Fourth Proportional to 1,028.19, 1,542.28 and 344.19

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Solution

The fourth proportional to 1,028.19, 1,542.28 and 344.19 is: 516.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.19 : 1,542.28 = 344.19 : x
  2. Step 2: Convert to fraction form
    1,028.19/1,542.28 = 344.19/x
  3. Step 3: Cross multiply
    1,028.19x = 1,542.28 × 344.19
  4. Step 4: Simplify right side
    1,028.19x = 530,837.35
  5. Step 5: Solve for x
    x = 530,837.35/1,028.19
  6. Step 6: Final answer
    x = 516.28

Related Problems

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Half scale
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Double scale
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Similar ratio
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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.