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Finding the Fourth Proportional to 462.65, 690.21 and 450.09

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Solution

The fourth proportional to 462.65, 690.21 and 450.09 is: 671.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.65 : 690.21 = 450.09 : x
  2. Step 2: Convert to fraction form
    462.65/690.21 = 450.09/x
  3. Step 3: Cross multiply
    462.65x = 690.21 × 450.09
  4. Step 4: Simplify right side
    462.65x = 310,656.62
  5. Step 5: Solve for x
    x = 310,656.62/462.65
  6. Step 6: Final answer
    x = 671.48

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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.