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Finding the Fourth Proportional to 816.12, 1,219.14 and 654.12

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Solution

The fourth proportional to 816.12, 1,219.14 and 654.12 is: 977.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.12 : 1,219.14 = 654.12 : x
  2. Step 2: Convert to fraction form
    816.12/1,219.14 = 654.12/x
  3. Step 3: Cross multiply
    816.12x = 1,219.14 × 654.12
  4. Step 4: Simplify right side
    816.12x = 797,463.86
  5. Step 5: Solve for x
    x = 797,463.86/816.12
  6. Step 6: Final answer
    x = 977.14

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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.