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Finding the Fourth Proportional to 488.23, 672.23 and 461.16

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Solution

The fourth proportional to 488.23, 672.23 and 461.16 is: 634.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.23 : 672.23 = 461.16 : x
  2. Step 2: Convert to fraction form
    488.23/672.23 = 461.16/x
  3. Step 3: Cross multiply
    488.23x = 672.23 × 461.16
  4. Step 4: Simplify right side
    488.23x = 310,006.74
  5. Step 5: Solve for x
    x = 310,006.74/488.23
  6. Step 6: Final answer
    x = 634.96

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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.