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Finding the Fourth Proportional to 780.37, 1,169.74 and 317.96

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Solution

The fourth proportional to 780.37, 1,169.74 and 317.96 is: 476.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.37 : 1,169.74 = 317.96 : x
  2. Step 2: Convert to fraction form
    780.37/1,169.74 = 317.96/x
  3. Step 3: Cross multiply
    780.37x = 1,169.74 × 317.96
  4. Step 4: Simplify right side
    780.37x = 371,929.47
  5. Step 5: Solve for x
    x = 371,929.47/780.37
  6. Step 6: Final answer
    x = 476.61

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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.