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Finding the Fourth Proportional to 1,286.40, 1,929.63 and 464.73

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Solution

The fourth proportional to 1,286.40, 1,929.63 and 464.73 is: 697.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.40 : 1,929.63 = 464.73 : x
  2. Step 2: Convert to fraction form
    1,286.40/1,929.63 = 464.73/x
  3. Step 3: Cross multiply
    1,286.40x = 1,929.63 × 464.73
  4. Step 4: Simplify right side
    1,286.40x = 896,756.95
  5. Step 5: Solve for x
    x = 896,756.95/1,286.40
  6. Step 6: Final answer
    x = 697.11

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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.