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Finding the Fourth Proportional to 557.15, 834.36 and 383.33

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Solution

The fourth proportional to 557.15, 834.36 and 383.33 is: 574.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.15 : 834.36 = 383.33 : x
  2. Step 2: Convert to fraction form
    557.15/834.36 = 383.33/x
  3. Step 3: Cross multiply
    557.15x = 834.36 × 383.33
  4. Step 4: Simplify right side
    557.15x = 319,832.74
  5. Step 5: Solve for x
    x = 319,832.74/557.15
  6. Step 6: Final answer
    x = 574.05

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Why These Related Problems?

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