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Finding the Fourth Proportional to 452, 674.50 and 403.40

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Solution

The fourth proportional to 452, 674.50 and 403.40 is: 601.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    452 : 674.50 = 403.40 : x
  2. Step 2: Convert to fraction form
    452/674.50 = 403.40/x
  3. Step 3: Cross multiply
    452x = 674.50 × 403.40
  4. Step 4: Simplify right side
    452x = 272,093.30
  5. Step 5: Solve for x
    x = 272,093.30/452
  6. Step 6: Final answer
    x = 601.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.