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Finding the Fourth Proportional to 465.24, 694.56 and 431.40

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Solution

The fourth proportional to 465.24, 694.56 and 431.40 is: 644.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.24 : 694.56 = 431.40 : x
  2. Step 2: Convert to fraction form
    465.24/694.56 = 431.40/x
  3. Step 3: Cross multiply
    465.24x = 694.56 × 431.40
  4. Step 4: Simplify right side
    465.24x = 299,633.18
  5. Step 5: Solve for x
    x = 299,633.18/465.24
  6. Step 6: Final answer
    x = 644.04

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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.