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Finding the Fourth Proportional to 1,213.42, 1,821.04 and 802.41

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Solution

The fourth proportional to 1,213.42, 1,821.04 and 802.41 is: 1,204.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.42 : 1,821.04 = 802.41 : x
  2. Step 2: Convert to fraction form
    1,213.42/1,821.04 = 802.41/x
  3. Step 3: Cross multiply
    1,213.42x = 1,821.04 × 802.41
  4. Step 4: Simplify right side
    1,213.42x = 1,461,218.70
  5. Step 5: Solve for x
    x = 1,461,218.70/1,213.42
  6. Step 6: Final answer
    x = 1,204.22

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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.