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Finding the Fourth Proportional to 452.54, 674.30 and 404.07

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Solution

The fourth proportional to 452.54, 674.30 and 404.07 is: 602.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.54 : 674.30 = 404.07 : x
  2. Step 2: Convert to fraction form
    452.54/674.30 = 404.07/x
  3. Step 3: Cross multiply
    452.54x = 674.30 × 404.07
  4. Step 4: Simplify right side
    452.54x = 272,462.38
  5. Step 5: Solve for x
    x = 272,462.38/452.54
  6. Step 6: Final answer
    x = 602.08

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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.