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Finding the Fourth Proportional to 443.46, 609.32 and 415.02

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Solution

The fourth proportional to 443.46, 609.32 and 415.02 is: 570.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.46 : 609.32 = 415.02 : x
  2. Step 2: Convert to fraction form
    443.46/609.32 = 415.02/x
  3. Step 3: Cross multiply
    443.46x = 609.32 × 415.02
  4. Step 4: Simplify right side
    443.46x = 252,877.91
  5. Step 5: Solve for x
    x = 252,877.91/443.46
  6. Step 6: Final answer
    x = 570.24

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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.