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Finding the Fourth Proportional to 580.96, 801.73 and 356.83

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Solution

The fourth proportional to 580.96, 801.73 and 356.83 is: 492.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.96 : 801.73 = 356.83 : x
  2. Step 2: Convert to fraction form
    580.96/801.73 = 356.83/x
  3. Step 3: Cross multiply
    580.96x = 801.73 × 356.83
  4. Step 4: Simplify right side
    580.96x = 286,081.32
  5. Step 5: Solve for x
    x = 286,081.32/580.96
  6. Step 6: Final answer
    x = 492.43

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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.