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Finding the Fourth Proportional to 445.89, 618.49 and 434.01

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Solution

The fourth proportional to 445.89, 618.49 and 434.01 is: 602.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.89 : 618.49 = 434.01 : x
  2. Step 2: Convert to fraction form
    445.89/618.49 = 434.01/x
  3. Step 3: Cross multiply
    445.89x = 618.49 × 434.01
  4. Step 4: Simplify right side
    445.89x = 268,429.76
  5. Step 5: Solve for x
    x = 268,429.76/445.89
  6. Step 6: Final answer
    x = 602.01

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.