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Finding the Fourth Proportional to 984.32, 1,476.84 and 802.16

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Solution

The fourth proportional to 984.32, 1,476.84 and 802.16 is: 1,203.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.32 : 1,476.84 = 802.16 : x
  2. Step 2: Convert to fraction form
    984.32/1,476.84 = 802.16/x
  3. Step 3: Cross multiply
    984.32x = 1,476.84 × 802.16
  4. Step 4: Simplify right side
    984.32x = 1,184,661.97
  5. Step 5: Solve for x
    x = 1,184,661.97/984.32
  6. Step 6: Final answer
    x = 1,203.53

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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.