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Finding the Fourth Proportional to 461.52, 690.48 and 316.80

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Solution

The fourth proportional to 461.52, 690.48 and 316.80 is: 473.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.52 : 690.48 = 316.80 : x
  2. Step 2: Convert to fraction form
    461.52/690.48 = 316.80/x
  3. Step 3: Cross multiply
    461.52x = 690.48 × 316.80
  4. Step 4: Simplify right side
    461.52x = 218,744.06
  5. Step 5: Solve for x
    x = 218,744.06/461.52
  6. Step 6: Final answer
    x = 473.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.