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Finding the Fourth Proportional to 1,275.08, 1,911.71 and 787.67

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Solution

The fourth proportional to 1,275.08, 1,911.71 and 787.67 is: 1,180.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.08 : 1,911.71 = 787.67 : x
  2. Step 2: Convert to fraction form
    1,275.08/1,911.71 = 787.67/x
  3. Step 3: Cross multiply
    1,275.08x = 1,911.71 × 787.67
  4. Step 4: Simplify right side
    1,275.08x = 1,505,789.03
  5. Step 5: Solve for x
    x = 1,505,789.03/1,275.08
  6. Step 6: Final answer
    x = 1,180.93

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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.