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Finding the Fourth Proportional to 452.79, 674.73 and 432.54

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Solution

The fourth proportional to 452.79, 674.73 and 432.54 is: 644.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.79 : 674.73 = 432.54 : x
  2. Step 2: Convert to fraction form
    452.79/674.73 = 432.54/x
  3. Step 3: Cross multiply
    452.79x = 674.73 × 432.54
  4. Step 4: Simplify right side
    452.79x = 291,847.71
  5. Step 5: Solve for x
    x = 291,847.71/452.79
  6. Step 6: Final answer
    x = 644.55

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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.