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Finding the Fourth Proportional to 779.63, 1,170.05 and 455.22

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Solution

The fourth proportional to 779.63, 1,170.05 and 455.22 is: 683.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.63 : 1,170.05 = 455.22 : x
  2. Step 2: Convert to fraction form
    779.63/1,170.05 = 455.22/x
  3. Step 3: Cross multiply
    779.63x = 1,170.05 × 455.22
  4. Step 4: Simplify right side
    779.63x = 532,627.88
  5. Step 5: Solve for x
    x = 532,627.88/779.63
  6. Step 6: Final answer
    x = 683.18

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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.