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Finding the Fourth Proportional to 631.45, 945.61 and 435.90

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Solution

The fourth proportional to 631.45, 945.61 and 435.90 is: 652.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.45 : 945.61 = 435.90 : x
  2. Step 2: Convert to fraction form
    631.45/945.61 = 435.90/x
  3. Step 3: Cross multiply
    631.45x = 945.61 × 435.90
  4. Step 4: Simplify right side
    631.45x = 412,188.54
  5. Step 5: Solve for x
    x = 412,188.54/631.45
  6. Step 6: Final answer
    x = 652.77

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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.