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Finding the Fourth Proportional to 816.03, 1,214.96 and 804.53

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Solution

The fourth proportional to 816.03, 1,214.96 and 804.53 is: 1,197.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.03 : 1,214.96 = 804.53 : x
  2. Step 2: Convert to fraction form
    816.03/1,214.96 = 804.53/x
  3. Step 3: Cross multiply
    816.03x = 1,214.96 × 804.53
  4. Step 4: Simplify right side
    816.03x = 977,461.67
  5. Step 5: Solve for x
    x = 977,461.67/816.03
  6. Step 6: Final answer
    x = 1,197.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.