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Finding the Fourth Proportional to 634.23, 953.19 and 461.22

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Solution

The fourth proportional to 634.23, 953.19 and 461.22 is: 693.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.23 : 953.19 = 461.22 : x
  2. Step 2: Convert to fraction form
    634.23/953.19 = 461.22/x
  3. Step 3: Cross multiply
    634.23x = 953.19 × 461.22
  4. Step 4: Simplify right side
    634.23x = 439,630.29
  5. Step 5: Solve for x
    x = 439,630.29/634.23
  6. Step 6: Final answer
    x = 693.17

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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.