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Finding the Fourth Proportional to 601.39, 898.39 and 435.43

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Solution

The fourth proportional to 601.39, 898.39 and 435.43 is: 650.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.39 : 898.39 = 435.43 : x
  2. Step 2: Convert to fraction form
    601.39/898.39 = 435.43/x
  3. Step 3: Cross multiply
    601.39x = 898.39 × 435.43
  4. Step 4: Simplify right side
    601.39x = 391,185.96
  5. Step 5: Solve for x
    x = 391,185.96/601.39
  6. Step 6: Final answer
    x = 650.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.