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Finding the Fourth Proportional to 984.03, 1,476.20 and 290.77

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Solution

The fourth proportional to 984.03, 1,476.20 and 290.77 is: 436.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.03 : 1,476.20 = 290.77 : x
  2. Step 2: Convert to fraction form
    984.03/1,476.20 = 290.77/x
  3. Step 3: Cross multiply
    984.03x = 1,476.20 × 290.77
  4. Step 4: Simplify right side
    984.03x = 429,228.02
  5. Step 5: Solve for x
    x = 429,228.02/984.03
  6. Step 6: Final answer
    x = 436.20

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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.