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Finding the Fourth Proportional to 478.63, 722.25 and 461.46

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Solution

The fourth proportional to 478.63, 722.25 and 461.46 is: 696.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.63 : 722.25 = 461.46 : x
  2. Step 2: Convert to fraction form
    478.63/722.25 = 461.46/x
  3. Step 3: Cross multiply
    478.63x = 722.25 × 461.46
  4. Step 4: Simplify right side
    478.63x = 333,289.49
  5. Step 5: Solve for x
    x = 333,289.49/478.63
  6. Step 6: Final answer
    x = 696.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.