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Finding the Fourth Proportional to 984.28, 1,472.10 and 802.84

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Solution

The fourth proportional to 984.28, 1,472.10 and 802.84 is: 1,200.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.28 : 1,472.10 = 802.84 : x
  2. Step 2: Convert to fraction form
    984.28/1,472.10 = 802.84/x
  3. Step 3: Cross multiply
    984.28x = 1,472.10 × 802.84
  4. Step 4: Simplify right side
    984.28x = 1,181,860.76
  5. Step 5: Solve for x
    x = 1,181,860.76/984.28
  6. Step 6: Final answer
    x = 1,200.74

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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.