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Finding the Fourth Proportional to 617.31, 846.83 and 580.05

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Solution

The fourth proportional to 617.31, 846.83 and 580.05 is: 795.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.31 : 846.83 = 580.05 : x
  2. Step 2: Convert to fraction form
    617.31/846.83 = 580.05/x
  3. Step 3: Cross multiply
    617.31x = 846.83 × 580.05
  4. Step 4: Simplify right side
    617.31x = 491,205.19
  5. Step 5: Solve for x
    x = 491,205.19/617.31
  6. Step 6: Final answer
    x = 795.72

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.