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Finding the Fourth Proportional to 464.43, 693.26 and 432.34

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Solution

The fourth proportional to 464.43, 693.26 and 432.34 is: 645.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.43 : 693.26 = 432.34 : x
  2. Step 2: Convert to fraction form
    464.43/693.26 = 432.34/x
  3. Step 3: Cross multiply
    464.43x = 693.26 × 432.34
  4. Step 4: Simplify right side
    464.43x = 299,721.75
  5. Step 5: Solve for x
    x = 299,721.75/464.43
  6. Step 6: Final answer
    x = 645.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.