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Finding the Fourth Proportional to 1,015.09, 1,522.68 and 365.65

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Solution

The fourth proportional to 1,015.09, 1,522.68 and 365.65 is: 548.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.09 : 1,522.68 = 365.65 : x
  2. Step 2: Convert to fraction form
    1,015.09/1,522.68 = 365.65/x
  3. Step 3: Cross multiply
    1,015.09x = 1,522.68 × 365.65
  4. Step 4: Simplify right side
    1,015.09x = 556,767.94
  5. Step 5: Solve for x
    x = 556,767.94/1,015.09
  6. Step 6: Final answer
    x = 548.49

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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.