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Finding the Fourth Proportional to 1,122.34, 1,682.40 and 536.66

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Solution

The fourth proportional to 1,122.34, 1,682.40 and 536.66 is: 804.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.34 : 1,682.40 = 536.66 : x
  2. Step 2: Convert to fraction form
    1,122.34/1,682.40 = 536.66/x
  3. Step 3: Cross multiply
    1,122.34x = 1,682.40 × 536.66
  4. Step 4: Simplify right side
    1,122.34x = 902,873.67
  5. Step 5: Solve for x
    x = 902,873.67/1,122.34
  6. Step 6: Final answer
    x = 804.46

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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.