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Finding the Fourth Proportional to 465.80, 641.91 and 457.37

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Solution

The fourth proportional to 465.80, 641.91 and 457.37 is: 630.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.80 : 641.91 = 457.37 : x
  2. Step 2: Convert to fraction form
    465.80/641.91 = 457.37/x
  3. Step 3: Cross multiply
    465.80x = 641.91 × 457.37
  4. Step 4: Simplify right side
    465.80x = 293,587.17
  5. Step 5: Solve for x
    x = 293,587.17/465.80
  6. Step 6: Final answer
    x = 630.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.