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Finding the Fourth Proportional to 780.08, 1,166.52 and 762.80

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Solution

The fourth proportional to 780.08, 1,166.52 and 762.80 is: 1,140.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.08 : 1,166.52 = 762.80 : x
  2. Step 2: Convert to fraction form
    780.08/1,166.52 = 762.80/x
  3. Step 3: Cross multiply
    780.08x = 1,166.52 × 762.80
  4. Step 4: Simplify right side
    780.08x = 889,821.46
  5. Step 5: Solve for x
    x = 889,821.46/780.08
  6. Step 6: Final answer
    x = 1,140.68

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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.