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Finding the Fourth Proportional to 1,289.42, 1,932.84 and 630.86

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Solution

The fourth proportional to 1,289.42, 1,932.84 and 630.86 is: 945.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.42 : 1,932.84 = 630.86 : x
  2. Step 2: Convert to fraction form
    1,289.42/1,932.84 = 630.86/x
  3. Step 3: Cross multiply
    1,289.42x = 1,932.84 × 630.86
  4. Step 4: Simplify right side
    1,289.42x = 1,219,351.44
  5. Step 5: Solve for x
    x = 1,219,351.44/1,289.42
  6. Step 6: Final answer
    x = 945.66

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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.