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Finding the Fourth Proportional to 612.20, 845.14 and 415.80

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Solution

The fourth proportional to 612.20, 845.14 and 415.80 is: 574.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.20 : 845.14 = 415.80 : x
  2. Step 2: Convert to fraction form
    612.20/845.14 = 415.80/x
  3. Step 3: Cross multiply
    612.20x = 845.14 × 415.80
  4. Step 4: Simplify right side
    612.20x = 351,409.21
  5. Step 5: Solve for x
    x = 351,409.21/612.20
  6. Step 6: Final answer
    x = 574.01

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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.