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Finding the Fourth Proportional to 631.98, 948.27 and 285.56

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Solution

The fourth proportional to 631.98, 948.27 and 285.56 is: 428.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.98 : 948.27 = 285.56 : x
  2. Step 2: Convert to fraction form
    631.98/948.27 = 285.56/x
  3. Step 3: Cross multiply
    631.98x = 948.27 × 285.56
  4. Step 4: Simplify right side
    631.98x = 270,783.24
  5. Step 5: Solve for x
    x = 270,783.24/631.98
  6. Step 6: Final answer
    x = 428.47

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Double scale
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1.5x scale

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.