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Finding the Fourth Proportional to 780.27, 1,172.49 and 415.23

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Solution

The fourth proportional to 780.27, 1,172.49 and 415.23 is: 623.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.27 : 1,172.49 = 415.23 : x
  2. Step 2: Convert to fraction form
    780.27/1,172.49 = 415.23/x
  3. Step 3: Cross multiply
    780.27x = 1,172.49 × 415.23
  4. Step 4: Simplify right side
    780.27x = 486,853.02
  5. Step 5: Solve for x
    x = 486,853.02/780.27
  6. Step 6: Final answer
    x = 623.95

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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.