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Finding the Fourth Proportional to 632.08, 947.85 and 280.63

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Solution

The fourth proportional to 632.08, 947.85 and 280.63 is: 420.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.08 : 947.85 = 280.63 : x
  2. Step 2: Convert to fraction form
    632.08/947.85 = 280.63/x
  3. Step 3: Cross multiply
    632.08x = 947.85 × 280.63
  4. Step 4: Simplify right side
    632.08x = 265,995.15
  5. Step 5: Solve for x
    x = 265,995.15/632.08
  6. Step 6: Final answer
    x = 420.83

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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.