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Finding the Fourth Proportional to 462.41, 634.54 and 420.65

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Solution

The fourth proportional to 462.41, 634.54 and 420.65 is: 577.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.41 : 634.54 = 420.65 : x
  2. Step 2: Convert to fraction form
    462.41/634.54 = 420.65/x
  3. Step 3: Cross multiply
    462.41x = 634.54 × 420.65
  4. Step 4: Simplify right side
    462.41x = 266,919.25
  5. Step 5: Solve for x
    x = 266,919.25/462.41
  6. Step 6: Final answer
    x = 577.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.