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Finding the Fourth Proportional to 1,035.54, 1,553.49 and 386.19

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Solution

The fourth proportional to 1,035.54, 1,553.49 and 386.19 is: 579.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.54 : 1,553.49 = 386.19 : x
  2. Step 2: Convert to fraction form
    1,035.54/1,553.49 = 386.19/x
  3. Step 3: Cross multiply
    1,035.54x = 1,553.49 × 386.19
  4. Step 4: Simplify right side
    1,035.54x = 599,942.30
  5. Step 5: Solve for x
    x = 599,942.30/1,035.54
  6. Step 6: Final answer
    x = 579.35

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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.