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Finding the Fourth Proportional to 452.02, 626.66 and 428.60

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Solution

The fourth proportional to 452.02, 626.66 and 428.60 is: 594.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.02 : 626.66 = 428.60 : x
  2. Step 2: Convert to fraction form
    452.02/626.66 = 428.60/x
  3. Step 3: Cross multiply
    452.02x = 626.66 × 428.60
  4. Step 4: Simplify right side
    452.02x = 268,586.48
  5. Step 5: Solve for x
    x = 268,586.48/452.02
  6. Step 6: Final answer
    x = 594.19

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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.