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Finding the Fourth Proportional to 829.03, 1,242.73 and 536.49

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Solution

The fourth proportional to 829.03, 1,242.73 and 536.49 is: 804.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.03 : 1,242.73 = 536.49 : x
  2. Step 2: Convert to fraction form
    829.03/1,242.73 = 536.49/x
  3. Step 3: Cross multiply
    829.03x = 1,242.73 × 536.49
  4. Step 4: Simplify right side
    829.03x = 666,712.22
  5. Step 5: Solve for x
    x = 666,712.22/829.03
  6. Step 6: Final answer
    x = 804.21

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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.