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Finding the Fourth Proportional to 612.56, 845.61 and 435.88

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Solution

The fourth proportional to 612.56, 845.61 and 435.88 is: 601.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.56 : 845.61 = 435.88 : x
  2. Step 2: Convert to fraction form
    612.56/845.61 = 435.88/x
  3. Step 3: Cross multiply
    612.56x = 845.61 × 435.88
  4. Step 4: Simplify right side
    612.56x = 368,583.91
  5. Step 5: Solve for x
    x = 368,583.91/612.56
  6. Step 6: Final answer
    x = 601.71

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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.