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Finding the Fourth Proportional to 656.45, 905.93 and 435.02

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Solution

The fourth proportional to 656.45, 905.93 and 435.02 is: 600.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.45 : 905.93 = 435.02 : x
  2. Step 2: Convert to fraction form
    656.45/905.93 = 435.02/x
  3. Step 3: Cross multiply
    656.45x = 905.93 × 435.02
  4. Step 4: Simplify right side
    656.45x = 394,090.96
  5. Step 5: Solve for x
    x = 394,090.96/656.45
  6. Step 6: Final answer
    x = 600.34

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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.