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Finding the Fourth Proportional to 984.84, 1,476.72 and 711.33

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Solution

The fourth proportional to 984.84, 1,476.72 and 711.33 is: 1,066.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.84 : 1,476.72 = 711.33 : x
  2. Step 2: Convert to fraction form
    984.84/1,476.72 = 711.33/x
  3. Step 3: Cross multiply
    984.84x = 1,476.72 × 711.33
  4. Step 4: Simplify right side
    984.84x = 1,050,435.24
  5. Step 5: Solve for x
    x = 1,050,435.24/984.84
  6. Step 6: Final answer
    x = 1,066.60

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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.