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Finding the Fourth Proportional to 580.82, 876.41 and 558.32

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Solution

The fourth proportional to 580.82, 876.41 and 558.32 is: 842.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.82 : 876.41 = 558.32 : x
  2. Step 2: Convert to fraction form
    580.82/876.41 = 558.32/x
  3. Step 3: Cross multiply
    580.82x = 876.41 × 558.32
  4. Step 4: Simplify right side
    580.82x = 489,317.23
  5. Step 5: Solve for x
    x = 489,317.23/580.82
  6. Step 6: Final answer
    x = 842.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.