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Finding the Fourth Proportional to 829.47, 1,146.20 and 802.43

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Solution

The fourth proportional to 829.47, 1,146.20 and 802.43 is: 1,108.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.47 : 1,146.20 = 802.43 : x
  2. Step 2: Convert to fraction form
    829.47/1,146.20 = 802.43/x
  3. Step 3: Cross multiply
    829.47x = 1,146.20 × 802.43
  4. Step 4: Simplify right side
    829.47x = 919,747.56
  5. Step 5: Solve for x
    x = 919,747.56/829.47
  6. Step 6: Final answer
    x = 1,108.84

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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.