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Finding the Fourth Proportional to 465.32, 694.58 and 431.48

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Solution

The fourth proportional to 465.32, 694.58 and 431.48 is: 644.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.32 : 694.58 = 431.48 : x
  2. Step 2: Convert to fraction form
    465.32/694.58 = 431.48/x
  3. Step 3: Cross multiply
    465.32x = 694.58 × 431.48
  4. Step 4: Simplify right side
    465.32x = 299,697.38
  5. Step 5: Solve for x
    x = 299,697.38/465.32
  6. Step 6: Final answer
    x = 644.07

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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.