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Finding the Fourth Proportional to 435.87, 658.80 and 431.01

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Solution

The fourth proportional to 435.87, 658.80 and 431.01 is: 651.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.87 : 658.80 = 431.01 : x
  2. Step 2: Convert to fraction form
    435.87/658.80 = 431.01/x
  3. Step 3: Cross multiply
    435.87x = 658.80 × 431.01
  4. Step 4: Simplify right side
    435.87x = 283,949.39
  5. Step 5: Solve for x
    x = 283,949.39/435.87
  6. Step 6: Final answer
    x = 651.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.