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Finding the Fourth Proportional to 450.64, 676.98 and 432.18

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Solution

The fourth proportional to 450.64, 676.98 and 432.18 is: 649.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.64 : 676.98 = 432.18 : x
  2. Step 2: Convert to fraction form
    450.64/676.98 = 432.18/x
  3. Step 3: Cross multiply
    450.64x = 676.98 × 432.18
  4. Step 4: Simplify right side
    450.64x = 292,577.22
  5. Step 5: Solve for x
    x = 292,577.22/450.64
  6. Step 6: Final answer
    x = 649.25

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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.