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Finding the Fourth Proportional to 465.28, 694.52 and 431.02

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Solution

The fourth proportional to 465.28, 694.52 and 431.02 is: 643.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.28 : 694.52 = 431.02 : x
  2. Step 2: Convert to fraction form
    465.28/694.52 = 431.02/x
  3. Step 3: Cross multiply
    465.28x = 694.52 × 431.02
  4. Step 4: Simplify right side
    465.28x = 299,352.01
  5. Step 5: Solve for x
    x = 299,352.01/465.28
  6. Step 6: Final answer
    x = 643.38

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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.