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Finding the Fourth Proportional to 841.96, 1,160.58 and 620.20

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Solution

The fourth proportional to 841.96, 1,160.58 and 620.20 is: 854.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.96 : 1,160.58 = 620.20 : x
  2. Step 2: Convert to fraction form
    841.96/1,160.58 = 620.20/x
  3. Step 3: Cross multiply
    841.96x = 1,160.58 × 620.20
  4. Step 4: Simplify right side
    841.96x = 719,791.72
  5. Step 5: Solve for x
    x = 719,791.72/841.96
  6. Step 6: Final answer
    x = 854.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.