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Finding the Fourth Proportional to 450.76, 672.41 and 402.16

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Solution

The fourth proportional to 450.76, 672.41 and 402.16 is: 599.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.76 : 672.41 = 402.16 : x
  2. Step 2: Convert to fraction form
    450.76/672.41 = 402.16/x
  3. Step 3: Cross multiply
    450.76x = 672.41 × 402.16
  4. Step 4: Simplify right side
    450.76x = 270,416.41
  5. Step 5: Solve for x
    x = 270,416.41/450.76
  6. Step 6: Final answer
    x = 599.91

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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.