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Finding the Fourth Proportional to 433.71, 652.91 and 396.05

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Solution

The fourth proportional to 433.71, 652.91 and 396.05 is: 596.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.71 : 652.91 = 396.05 : x
  2. Step 2: Convert to fraction form
    433.71/652.91 = 396.05/x
  3. Step 3: Cross multiply
    433.71x = 652.91 × 396.05
  4. Step 4: Simplify right side
    433.71x = 258,579.76
  5. Step 5: Solve for x
    x = 258,579.76/433.71
  6. Step 6: Final answer
    x = 596.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.