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Finding the Fourth Proportional to 435.93, 601.74 and 288.63

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Solution

The fourth proportional to 435.93, 601.74 and 288.63 is: 398.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.93 : 601.74 = 288.63 : x
  2. Step 2: Convert to fraction form
    435.93/601.74 = 288.63/x
  3. Step 3: Cross multiply
    435.93x = 601.74 × 288.63
  4. Step 4: Simplify right side
    435.93x = 173,680.22
  5. Step 5: Solve for x
    x = 173,680.22/435.93
  6. Step 6: Final answer
    x = 398.41

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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.