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Finding the Fourth Proportional to 433.76, 646.47 and 433.09

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Solution

The fourth proportional to 433.76, 646.47 and 433.09 is: 645.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.76 : 646.47 = 433.09 : x
  2. Step 2: Convert to fraction form
    433.76/646.47 = 433.09/x
  3. Step 3: Cross multiply
    433.76x = 646.47 × 433.09
  4. Step 4: Simplify right side
    433.76x = 279,979.69
  5. Step 5: Solve for x
    x = 279,979.69/433.76
  6. Step 6: Final answer
    x = 645.47

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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.