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Finding the Fourth Proportional to 557.89, 835.77 and 338.58

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Solution

The fourth proportional to 557.89, 835.77 and 338.58 is: 507.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.89 : 835.77 = 338.58 : x
  2. Step 2: Convert to fraction form
    557.89/835.77 = 338.58/x
  3. Step 3: Cross multiply
    557.89x = 835.77 × 338.58
  4. Step 4: Simplify right side
    557.89x = 282,973.31
  5. Step 5: Solve for x
    x = 282,973.31/557.89
  6. Step 6: Final answer
    x = 507.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.