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Finding the Fourth Proportional to 464.79, 642.03 and 431.99

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Solution

The fourth proportional to 464.79, 642.03 and 431.99 is: 596.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.79 : 642.03 = 431.99 : x
  2. Step 2: Convert to fraction form
    464.79/642.03 = 431.99/x
  3. Step 3: Cross multiply
    464.79x = 642.03 × 431.99
  4. Step 4: Simplify right side
    464.79x = 277,347.33
  5. Step 5: Solve for x
    x = 277,347.33/464.79
  6. Step 6: Final answer
    x = 596.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.