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Finding the Fourth Proportional to 433.38, 594.38 and 415.74

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Solution

The fourth proportional to 433.38, 594.38 and 415.74 is: 570.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.38 : 594.38 = 415.74 : x
  2. Step 2: Convert to fraction form
    433.38/594.38 = 415.74/x
  3. Step 3: Cross multiply
    433.38x = 594.38 × 415.74
  4. Step 4: Simplify right side
    433.38x = 247,105.46
  5. Step 5: Solve for x
    x = 247,105.46/433.38
  6. Step 6: Final answer
    x = 570.18

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.