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Finding the Fourth Proportional to 984.83, 1,477.23 and 254.40

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Solution

The fourth proportional to 984.83, 1,477.23 and 254.40 is: 381.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.83 : 1,477.23 = 254.40 : x
  2. Step 2: Convert to fraction form
    984.83/1,477.23 = 254.40/x
  3. Step 3: Cross multiply
    984.83x = 1,477.23 × 254.40
  4. Step 4: Simplify right side
    984.83x = 375,807.31
  5. Step 5: Solve for x
    x = 375,807.31/984.83
  6. Step 6: Final answer
    x = 381.60

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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.