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Finding the Fourth Proportional to 984.34, 1,476.48 and 253.93

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Solution

The fourth proportional to 984.34, 1,476.48 and 253.93 is: 380.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.34 : 1,476.48 = 253.93 : x
  2. Step 2: Convert to fraction form
    984.34/1,476.48 = 253.93/x
  3. Step 3: Cross multiply
    984.34x = 1,476.48 × 253.93
  4. Step 4: Simplify right side
    984.34x = 374,922.57
  5. Step 5: Solve for x
    x = 374,922.57/984.34
  6. Step 6: Final answer
    x = 380.89

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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.