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Finding the Fourth Proportional to 984.92, 1,477.56 and 407.84

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Solution

The fourth proportional to 984.92, 1,477.56 and 407.84 is: 611.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.92 : 1,477.56 = 407.84 : x
  2. Step 2: Convert to fraction form
    984.92/1,477.56 = 407.84/x
  3. Step 3: Cross multiply
    984.92x = 1,477.56 × 407.84
  4. Step 4: Simplify right side
    984.92x = 602,608.07
  5. Step 5: Solve for x
    x = 602,608.07/984.92
  6. Step 6: Final answer
    x = 611.83

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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.