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Finding the Fourth Proportional to 2,452.61, 3,678.82 and 603.72

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Solution

The fourth proportional to 2,452.61, 3,678.82 and 603.72 is: 905.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.61 : 3,678.82 = 603.72 : x
  2. Step 2: Convert to fraction form
    2,452.61/3,678.82 = 603.72/x
  3. Step 3: Cross multiply
    2,452.61x = 3,678.82 × 603.72
  4. Step 4: Simplify right side
    2,452.61x = 2,220,975.70
  5. Step 5: Solve for x
    x = 2,220,975.70/2,452.61
  6. Step 6: Final answer
    x = 905.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.