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Finding the Fourth Proportional to 780.93, 1,171.80 and 415.62

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Solution

The fourth proportional to 780.93, 1,171.80 and 415.62 is: 623.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.93 : 1,171.80 = 415.62 : x
  2. Step 2: Convert to fraction form
    780.93/1,171.80 = 415.62/x
  3. Step 3: Cross multiply
    780.93x = 1,171.80 × 415.62
  4. Step 4: Simplify right side
    780.93x = 487,023.52
  5. Step 5: Solve for x
    x = 487,023.52/780.93
  6. Step 6: Final answer
    x = 623.65

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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.