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Finding the Fourth Proportional to 984.09, 1,476.23 and 253.67

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Solution

The fourth proportional to 984.09, 1,476.23 and 253.67 is: 380.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.09 : 1,476.23 = 253.67 : x
  2. Step 2: Convert to fraction form
    984.09/1,476.23 = 253.67/x
  3. Step 3: Cross multiply
    984.09x = 1,476.23 × 253.67
  4. Step 4: Simplify right side
    984.09x = 374,475.26
  5. Step 5: Solve for x
    x = 374,475.26/984.09
  6. Step 6: Final answer
    x = 380.53

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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.