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Finding the Fourth Proportional to 465.56, 695.36 and 421.56

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Solution

The fourth proportional to 465.56, 695.36 and 421.56 is: 629.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.56 : 695.36 = 421.56 : x
  2. Step 2: Convert to fraction form
    465.56/695.36 = 421.56/x
  3. Step 3: Cross multiply
    465.56x = 695.36 × 421.56
  4. Step 4: Simplify right side
    465.56x = 293,133.85
  5. Step 5: Solve for x
    x = 293,133.85/465.56
  6. Step 6: Final answer
    x = 629.64

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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.