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Finding the Fourth Proportional to 431.75, 645.73 and 400.59

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Solution

The fourth proportional to 431.75, 645.73 and 400.59 is: 599.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.75 : 645.73 = 400.59 : x
  2. Step 2: Convert to fraction form
    431.75/645.73 = 400.59/x
  3. Step 3: Cross multiply
    431.75x = 645.73 × 400.59
  4. Step 4: Simplify right side
    431.75x = 258,671.98
  5. Step 5: Solve for x
    x = 258,671.98/431.75
  6. Step 6: Final answer
    x = 599.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.