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Finding the Fourth Proportional to 435.40, 601.99 and 416.04

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Solution

The fourth proportional to 435.40, 601.99 and 416.04 is: 575.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.40 : 601.99 = 416.04 : x
  2. Step 2: Convert to fraction form
    435.40/601.99 = 416.04/x
  3. Step 3: Cross multiply
    435.40x = 601.99 × 416.04
  4. Step 4: Simplify right side
    435.40x = 250,451.55
  5. Step 5: Solve for x
    x = 250,451.55/435.40
  6. Step 6: Final answer
    x = 575.22

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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.