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Finding the Fourth Proportional to 433.60, 653.58 and 408.51

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Solution

The fourth proportional to 433.60, 653.58 and 408.51 is: 615.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.60 : 653.58 = 408.51 : x
  2. Step 2: Convert to fraction form
    433.60/653.58 = 408.51/x
  3. Step 3: Cross multiply
    433.60x = 653.58 × 408.51
  4. Step 4: Simplify right side
    433.60x = 266,991.72
  5. Step 5: Solve for x
    x = 266,991.72/433.60
  6. Step 6: Final answer
    x = 615.76

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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.