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Finding the Fourth Proportional to 920.84, 1,381.62 and 344.12

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Solution

The fourth proportional to 920.84, 1,381.62 and 344.12 is: 516.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.84 : 1,381.62 = 344.12 : x
  2. Step 2: Convert to fraction form
    920.84/1,381.62 = 344.12/x
  3. Step 3: Cross multiply
    920.84x = 1,381.62 × 344.12
  4. Step 4: Simplify right side
    920.84x = 475,443.07
  5. Step 5: Solve for x
    x = 475,443.07/920.84
  6. Step 6: Final answer
    x = 516.31

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Double scale
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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.