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Finding the Fourth Proportional to 1,289.84, 1,934.86 and 509.88

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Solution

The fourth proportional to 1,289.84, 1,934.86 and 509.88 is: 764.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.84 : 1,934.86 = 509.88 : x
  2. Step 2: Convert to fraction form
    1,289.84/1,934.86 = 509.88/x
  3. Step 3: Cross multiply
    1,289.84x = 1,934.86 × 509.88
  4. Step 4: Simplify right side
    1,289.84x = 986,546.42
  5. Step 5: Solve for x
    x = 986,546.42/1,289.84
  6. Step 6: Final answer
    x = 764.86

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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.