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Finding the Fourth Proportional to 583.08, 878.82 and 558.38

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Solution

The fourth proportional to 583.08, 878.82 and 558.38 is: 841.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.08 : 878.82 = 558.38 : x
  2. Step 2: Convert to fraction form
    583.08/878.82 = 558.38/x
  3. Step 3: Cross multiply
    583.08x = 878.82 × 558.38
  4. Step 4: Simplify right side
    583.08x = 490,711.12
  5. Step 5: Solve for x
    x = 490,711.12/583.08
  6. Step 6: Final answer
    x = 841.58

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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.