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Finding the Fourth Proportional to 816.34, 1,228.63 and 612.01

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Solution

The fourth proportional to 816.34, 1,228.63 and 612.01 is: 921.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.34 : 1,228.63 = 612.01 : x
  2. Step 2: Convert to fraction form
    816.34/1,228.63 = 612.01/x
  3. Step 3: Cross multiply
    816.34x = 1,228.63 × 612.01
  4. Step 4: Simplify right side
    816.34x = 751,933.85
  5. Step 5: Solve for x
    x = 751,933.85/816.34
  6. Step 6: Final answer
    x = 921.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.