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Finding the Fourth Proportional to 1,096.80, 1,645.26 and 366.31

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Solution

The fourth proportional to 1,096.80, 1,645.26 and 366.31 is: 549.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.80 : 1,645.26 = 366.31 : x
  2. Step 2: Convert to fraction form
    1,096.80/1,645.26 = 366.31/x
  3. Step 3: Cross multiply
    1,096.80x = 1,645.26 × 366.31
  4. Step 4: Simplify right side
    1,096.80x = 602,675.19
  5. Step 5: Solve for x
    x = 602,675.19/1,096.80
  6. Step 6: Final answer
    x = 549.49

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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.