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Finding the Fourth Proportional to 433.32, 651 and 408.72

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Solution

The fourth proportional to 433.32, 651 and 408.72 is: 614.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.32 : 651 = 408.72 : x
  2. Step 2: Convert to fraction form
    433.32/651 = 408.72/x
  3. Step 3: Cross multiply
    433.32x = 651 × 408.72
  4. Step 4: Simplify right side
    433.32x = 266,076.72
  5. Step 5: Solve for x
    x = 266,076.72/433.32
  6. Step 6: Final answer
    x = 614.04

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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.