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Finding the Fourth Proportional to 452.78, 674.64 and 432.87

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Solution

The fourth proportional to 452.78, 674.64 and 432.87 is: 644.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.78 : 674.64 = 432.87 : x
  2. Step 2: Convert to fraction form
    452.78/674.64 = 432.87/x
  3. Step 3: Cross multiply
    452.78x = 674.64 × 432.87
  4. Step 4: Simplify right side
    452.78x = 292,031.42
  5. Step 5: Solve for x
    x = 292,031.42/452.78
  6. Step 6: Final answer
    x = 644.98

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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.