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Finding the Fourth Proportional to 612.20, 843.93 and 434.90

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Solution

The fourth proportional to 612.20, 843.93 and 434.90 is: 599.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.20 : 843.93 = 434.90 : x
  2. Step 2: Convert to fraction form
    612.20/843.93 = 434.90/x
  3. Step 3: Cross multiply
    612.20x = 843.93 × 434.90
  4. Step 4: Simplify right side
    612.20x = 367,025.16
  5. Step 5: Solve for x
    x = 367,025.16/612.20
  6. Step 6: Final answer
    x = 599.52

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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.