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Finding the Fourth Proportional to 433.40, 645.39 and 432.18

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Solution

The fourth proportional to 433.40, 645.39 and 432.18 is: 643.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.40 : 645.39 = 432.18 : x
  2. Step 2: Convert to fraction form
    433.40/645.39 = 432.18/x
  3. Step 3: Cross multiply
    433.40x = 645.39 × 432.18
  4. Step 4: Simplify right side
    433.40x = 278,924.65
  5. Step 5: Solve for x
    x = 278,924.65/433.40
  6. Step 6: Final answer
    x = 643.58

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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.