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Finding the Fourth Proportional to 449.78, 616.82 and 431.06

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Solution

The fourth proportional to 449.78, 616.82 and 431.06 is: 591.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.78 : 616.82 = 431.06 : x
  2. Step 2: Convert to fraction form
    449.78/616.82 = 431.06/x
  3. Step 3: Cross multiply
    449.78x = 616.82 × 431.06
  4. Step 4: Simplify right side
    449.78x = 265,885.82
  5. Step 5: Solve for x
    x = 265,885.82/449.78
  6. Step 6: Final answer
    x = 591.15

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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.