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Finding the Fourth Proportional to 984.90, 1,477.32 and 399.89

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Solution

The fourth proportional to 984.90, 1,477.32 and 399.89 is: 599.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.90 : 1,477.32 = 399.89 : x
  2. Step 2: Convert to fraction form
    984.90/1,477.32 = 399.89/x
  3. Step 3: Cross multiply
    984.90x = 1,477.32 × 399.89
  4. Step 4: Simplify right side
    984.90x = 590,758.11
  5. Step 5: Solve for x
    x = 590,758.11/984.90
  6. Step 6: Final answer
    x = 599.82

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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.