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Finding the Fourth Proportional to 1,272.30, 1,908.14 and 929.67

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Solution

The fourth proportional to 1,272.30, 1,908.14 and 929.67 is: 1,394.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.30 : 1,908.14 = 929.67 : x
  2. Step 2: Convert to fraction form
    1,272.30/1,908.14 = 929.67/x
  3. Step 3: Cross multiply
    1,272.30x = 1,908.14 × 929.67
  4. Step 4: Simplify right side
    1,272.30x = 1,773,940.51
  5. Step 5: Solve for x
    x = 1,773,940.51/1,272.30
  6. Step 6: Final answer
    x = 1,394.28

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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.