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Finding the Fourth Proportional to 785.83, 1,177.06 and 414.46

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Solution

The fourth proportional to 785.83, 1,177.06 and 414.46 is: 620.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.83 : 1,177.06 = 414.46 : x
  2. Step 2: Convert to fraction form
    785.83/1,177.06 = 414.46/x
  3. Step 3: Cross multiply
    785.83x = 1,177.06 × 414.46
  4. Step 4: Simplify right side
    785.83x = 487,844.29
  5. Step 5: Solve for x
    x = 487,844.29/785.83
  6. Step 6: Final answer
    x = 620.80

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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.