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Finding the Fourth Proportional to 443.57, 614.88 and 428.45

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Solution

The fourth proportional to 443.57, 614.88 and 428.45 is: 593.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.57 : 614.88 = 428.45 : x
  2. Step 2: Convert to fraction form
    443.57/614.88 = 428.45/x
  3. Step 3: Cross multiply
    443.57x = 614.88 × 428.45
  4. Step 4: Simplify right side
    443.57x = 263,442.26
  5. Step 5: Solve for x
    x = 263,442.26/443.57
  6. Step 6: Final answer
    x = 593.92

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.