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Finding the Fourth Proportional to 847.69, 1,274.63 and 780.03

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Solution

The fourth proportional to 847.69, 1,274.63 and 780.03 is: 1,172.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.69 : 1,274.63 = 780.03 : x
  2. Step 2: Convert to fraction form
    847.69/1,274.63 = 780.03/x
  3. Step 3: Cross multiply
    847.69x = 1,274.63 × 780.03
  4. Step 4: Simplify right side
    847.69x = 994,245.74
  5. Step 5: Solve for x
    x = 994,245.74/847.69
  6. Step 6: Final answer
    x = 1,172.89

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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.