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Finding the Fourth Proportional to 984.94, 1,478.08 and 407.81

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Solution

The fourth proportional to 984.94, 1,478.08 and 407.81 is: 611.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.94 : 1,478.08 = 407.81 : x
  2. Step 2: Convert to fraction form
    984.94/1,478.08 = 407.81/x
  3. Step 3: Cross multiply
    984.94x = 1,478.08 × 407.81
  4. Step 4: Simplify right side
    984.94x = 602,775.80
  5. Step 5: Solve for x
    x = 602,775.80/984.94
  6. Step 6: Final answer
    x = 611.99

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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.