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Finding the Fourth Proportional to 431.16, 597.96 and 404.43

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Solution

The fourth proportional to 431.16, 597.96 and 404.43 is: 560.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.16 : 597.96 = 404.43 : x
  2. Step 2: Convert to fraction form
    431.16/597.96 = 404.43/x
  3. Step 3: Cross multiply
    431.16x = 597.96 × 404.43
  4. Step 4: Simplify right side
    431.16x = 241,832.96
  5. Step 5: Solve for x
    x = 241,832.96/431.16
  6. Step 6: Final answer
    x = 560.89

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.