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Finding the Fourth Proportional to 1,267.71, 1,902.15 and 780.45

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Solution

The fourth proportional to 1,267.71, 1,902.15 and 780.45 is: 1,171.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.71 : 1,902.15 = 780.45 : x
  2. Step 2: Convert to fraction form
    1,267.71/1,902.15 = 780.45/x
  3. Step 3: Cross multiply
    1,267.71x = 1,902.15 × 780.45
  4. Step 4: Simplify right side
    1,267.71x = 1,484,532.97
  5. Step 5: Solve for x
    x = 1,484,532.97/1,267.71
  6. Step 6: Final answer
    x = 1,171.04

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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.