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Finding the Fourth Proportional to 433.10, 645.33 and 412.17

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Solution

The fourth proportional to 433.10, 645.33 and 412.17 is: 614.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.10 : 645.33 = 412.17 : x
  2. Step 2: Convert to fraction form
    433.10/645.33 = 412.17/x
  3. Step 3: Cross multiply
    433.10x = 645.33 × 412.17
  4. Step 4: Simplify right side
    433.10x = 265,985.67
  5. Step 5: Solve for x
    x = 265,985.67/433.10
  6. Step 6: Final answer
    x = 614.15

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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.