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Finding the Fourth Proportional to 785.45, 1,177.03 and 455.63

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Solution

The fourth proportional to 785.45, 1,177.03 and 455.63 is: 682.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.45 : 1,177.03 = 455.63 : x
  2. Step 2: Convert to fraction form
    785.45/1,177.03 = 455.63/x
  3. Step 3: Cross multiply
    785.45x = 1,177.03 × 455.63
  4. Step 4: Simplify right side
    785.45x = 536,284.86
  5. Step 5: Solve for x
    x = 536,284.86/785.45
  6. Step 6: Final answer
    x = 682.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.