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Finding the Fourth Proportional to 780.59, 1,176.74 and 727.74

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Solution

The fourth proportional to 780.59, 1,176.74 and 727.74 is: 1,097.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.59 : 1,176.74 = 727.74 : x
  2. Step 2: Convert to fraction form
    780.59/1,176.74 = 727.74/x
  3. Step 3: Cross multiply
    780.59x = 1,176.74 × 727.74
  4. Step 4: Simplify right side
    780.59x = 856,357.13
  5. Step 5: Solve for x
    x = 856,357.13/780.59
  6. Step 6: Final answer
    x = 1,097.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.