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Finding the Fourth Proportional to 971.20, 1,454.88 and 628.48

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Solution

The fourth proportional to 971.20, 1,454.88 and 628.48 is: 941.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.20 : 1,454.88 = 628.48 : x
  2. Step 2: Convert to fraction form
    971.20/1,454.88 = 628.48/x
  3. Step 3: Cross multiply
    971.20x = 1,454.88 × 628.48
  4. Step 4: Simplify right side
    971.20x = 914,362.98
  5. Step 5: Solve for x
    x = 914,362.98/971.20
  6. Step 6: Final answer
    x = 941.48

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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.