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Finding the Fourth Proportional to 435.62, 656.57 and 375.48

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Solution

The fourth proportional to 435.62, 656.57 and 375.48 is: 565.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.62 : 656.57 = 375.48 : x
  2. Step 2: Convert to fraction form
    435.62/656.57 = 375.48/x
  3. Step 3: Cross multiply
    435.62x = 656.57 × 375.48
  4. Step 4: Simplify right side
    435.62x = 246,527.03
  5. Step 5: Solve for x
    x = 246,527.03/435.62
  6. Step 6: Final answer
    x = 565.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.