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Finding the Fourth Proportional to 452.37, 674.82 and 417.96

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Solution

The fourth proportional to 452.37, 674.82 and 417.96 is: 623.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.37 : 674.82 = 417.96 : x
  2. Step 2: Convert to fraction form
    452.37/674.82 = 417.96/x
  3. Step 3: Cross multiply
    452.37x = 674.82 × 417.96
  4. Step 4: Simplify right side
    452.37x = 282,047.77
  5. Step 5: Solve for x
    x = 282,047.77/452.37
  6. Step 6: Final answer
    x = 623.49

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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.