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Finding the Fourth Proportional to 441.79, 608.41 and 432.24

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Solution

The fourth proportional to 441.79, 608.41 and 432.24 is: 595.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.79 : 608.41 = 432.24 : x
  2. Step 2: Convert to fraction form
    441.79/608.41 = 432.24/x
  3. Step 3: Cross multiply
    441.79x = 608.41 × 432.24
  4. Step 4: Simplify right side
    441.79x = 262,977.40
  5. Step 5: Solve for x
    x = 262,977.40/441.79
  6. Step 6: Final answer
    x = 595.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.