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Finding the Fourth Proportional to 1,289.76, 1,934.94 and 559.41

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Solution

The fourth proportional to 1,289.76, 1,934.94 and 559.41 is: 839.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.76 : 1,934.94 = 559.41 : x
  2. Step 2: Convert to fraction form
    1,289.76/1,934.94 = 559.41/x
  3. Step 3: Cross multiply
    1,289.76x = 1,934.94 × 559.41
  4. Step 4: Simplify right side
    1,289.76x = 1,082,424.79
  5. Step 5: Solve for x
    x = 1,082,424.79/1,289.76
  6. Step 6: Final answer
    x = 839.25

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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.