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Finding the Fourth Proportional to 804.50, 1,109.48 and 505.78

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Solution

The fourth proportional to 804.50, 1,109.48 and 505.78 is: 697.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.50 : 1,109.48 = 505.78 : x
  2. Step 2: Convert to fraction form
    804.50/1,109.48 = 505.78/x
  3. Step 3: Cross multiply
    804.50x = 1,109.48 × 505.78
  4. Step 4: Simplify right side
    804.50x = 561,151.29
  5. Step 5: Solve for x
    x = 561,151.29/804.50
  6. Step 6: Final answer
    x = 697.52

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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.