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Finding the Fourth Proportional to 450.71, 621.12 and 310.57

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Solution

The fourth proportional to 450.71, 621.12 and 310.57 is: 428.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.71 : 621.12 = 310.57 : x
  2. Step 2: Convert to fraction form
    450.71/621.12 = 310.57/x
  3. Step 3: Cross multiply
    450.71x = 621.12 × 310.57
  4. Step 4: Simplify right side
    450.71x = 192,901.72
  5. Step 5: Solve for x
    x = 192,901.72/450.71
  6. Step 6: Final answer
    x = 428.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.