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Finding the Fourth Proportional to 802.04, 1,106.06 and 684.06

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Solution

The fourth proportional to 802.04, 1,106.06 and 684.06 is: 943.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.04 : 1,106.06 = 684.06 : x
  2. Step 2: Convert to fraction form
    802.04/1,106.06 = 684.06/x
  3. Step 3: Cross multiply
    802.04x = 1,106.06 × 684.06
  4. Step 4: Simplify right side
    802.04x = 756,611.40
  5. Step 5: Solve for x
    x = 756,611.40/802.04
  6. Step 6: Final answer
    x = 943.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.