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Finding the Fourth Proportional to 631.75, 947.93 and 400.75

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Solution

The fourth proportional to 631.75, 947.93 and 400.75 is: 601.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.75 : 947.93 = 400.75 : x
  2. Step 2: Convert to fraction form
    631.75/947.93 = 400.75/x
  3. Step 3: Cross multiply
    631.75x = 947.93 × 400.75
  4. Step 4: Simplify right side
    631.75x = 379,879.70
  5. Step 5: Solve for x
    x = 379,879.70/631.75
  6. Step 6: Final answer
    x = 601.31

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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.