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Finding the Fourth Proportional to 1,286.66, 1,929.99 and 312.76

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Solution

The fourth proportional to 1,286.66, 1,929.99 and 312.76 is: 469.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.66 : 1,929.99 = 312.76 : x
  2. Step 2: Convert to fraction form
    1,286.66/1,929.99 = 312.76/x
  3. Step 3: Cross multiply
    1,286.66x = 1,929.99 × 312.76
  4. Step 4: Simplify right side
    1,286.66x = 603,627.26
  5. Step 5: Solve for x
    x = 603,627.26/1,286.66
  6. Step 6: Final answer
    x = 469.14

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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.