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Finding the Fourth Proportional to 452.56, 621.30 and 408.64

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Solution

The fourth proportional to 452.56, 621.30 and 408.64 is: 561.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.56 : 621.30 = 408.64 : x
  2. Step 2: Convert to fraction form
    452.56/621.30 = 408.64/x
  3. Step 3: Cross multiply
    452.56x = 621.30 × 408.64
  4. Step 4: Simplify right side
    452.56x = 253,888.03
  5. Step 5: Solve for x
    x = 253,888.03/452.56
  6. Step 6: Final answer
    x = 561.00

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.