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Finding the Fourth Proportional to 469.25, 705.39 and 435.43

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Solution

The fourth proportional to 469.25, 705.39 and 435.43 is: 654.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.25 : 705.39 = 435.43 : x
  2. Step 2: Convert to fraction form
    469.25/705.39 = 435.43/x
  3. Step 3: Cross multiply
    469.25x = 705.39 × 435.43
  4. Step 4: Simplify right side
    469.25x = 307,142.26
  5. Step 5: Solve for x
    x = 307,142.26/469.25
  6. Step 6: Final answer
    x = 654.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.