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Finding the Fourth Proportional to 843.91, 1,164.14 and 802.45

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Solution

The fourth proportional to 843.91, 1,164.14 and 802.45 is: 1,106.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.91 : 1,164.14 = 802.45 : x
  2. Step 2: Convert to fraction form
    843.91/1,164.14 = 802.45/x
  3. Step 3: Cross multiply
    843.91x = 1,164.14 × 802.45
  4. Step 4: Simplify right side
    843.91x = 934,154.31
  5. Step 5: Solve for x
    x = 934,154.31/843.91
  6. Step 6: Final answer
    x = 1,106.94

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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.