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Finding the Fourth Proportional to 631.55, 947.63 and 285.13

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Solution

The fourth proportional to 631.55, 947.63 and 285.13 is: 427.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.55 : 947.63 = 285.13 : x
  2. Step 2: Convert to fraction form
    631.55/947.63 = 285.13/x
  3. Step 3: Cross multiply
    631.55x = 947.63 × 285.13
  4. Step 4: Simplify right side
    631.55x = 270,197.74
  5. Step 5: Solve for x
    x = 270,197.74/631.55
  6. Step 6: Final answer
    x = 427.83

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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.