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Finding the Fourth Proportional to 984.66, 1,476.07 and 780.54

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Solution

The fourth proportional to 984.66, 1,476.07 and 780.54 is: 1,170.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.66 : 1,476.07 = 780.54 : x
  2. Step 2: Convert to fraction form
    984.66/1,476.07 = 780.54/x
  3. Step 3: Cross multiply
    984.66x = 1,476.07 × 780.54
  4. Step 4: Simplify right side
    984.66x = 1,152,131.68
  5. Step 5: Solve for x
    x = 1,152,131.68/984.66
  6. Step 6: Final answer
    x = 1,170.08

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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.