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Finding the Fourth Proportional to 927.33, 1,390.77 and 536.49

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Solution

The fourth proportional to 927.33, 1,390.77 and 536.49 is: 804.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.33 : 1,390.77 = 536.49 : x
  2. Step 2: Convert to fraction form
    927.33/1,390.77 = 536.49/x
  3. Step 3: Cross multiply
    927.33x = 1,390.77 × 536.49
  4. Step 4: Simplify right side
    927.33x = 746,134.20
  5. Step 5: Solve for x
    x = 746,134.20/927.33
  6. Step 6: Final answer
    x = 804.60

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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.