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Finding the Fourth Proportional to 984.56, 1,477.50 and 407.42

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Solution

The fourth proportional to 984.56, 1,477.50 and 407.42 is: 611.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.56 : 1,477.50 = 407.42 : x
  2. Step 2: Convert to fraction form
    984.56/1,477.50 = 407.42/x
  3. Step 3: Cross multiply
    984.56x = 1,477.50 × 407.42
  4. Step 4: Simplify right side
    984.56x = 601,963.05
  5. Step 5: Solve for x
    x = 601,963.05/984.56
  6. Step 6: Final answer
    x = 611.40

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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.