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Finding the Fourth Proportional to 785.74, 1,176.26 and 476.65

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Solution

The fourth proportional to 785.74, 1,176.26 and 476.65 is: 713.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.74 : 1,176.26 = 476.65 : x
  2. Step 2: Convert to fraction form
    785.74/1,176.26 = 476.65/x
  3. Step 3: Cross multiply
    785.74x = 1,176.26 × 476.65
  4. Step 4: Simplify right side
    785.74x = 560,664.33
  5. Step 5: Solve for x
    x = 560,664.33/785.74
  6. Step 6: Final answer
    x = 713.55

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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.