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Finding the Fourth Proportional to 450.59, 621.32 and 310.77

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Solution

The fourth proportional to 450.59, 621.32 and 310.77 is: 428.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.59 : 621.32 = 310.77 : x
  2. Step 2: Convert to fraction form
    450.59/621.32 = 310.77/x
  3. Step 3: Cross multiply
    450.59x = 621.32 × 310.77
  4. Step 4: Simplify right side
    450.59x = 193,086.06
  5. Step 5: Solve for x
    x = 193,086.06/450.59
  6. Step 6: Final answer
    x = 428.52

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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.