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Finding the Fourth Proportional to 511.46, 706.20 and 452.51

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Solution

The fourth proportional to 511.46, 706.20 and 452.51 is: 624.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.46 : 706.20 = 452.51 : x
  2. Step 2: Convert to fraction form
    511.46/706.20 = 452.51/x
  3. Step 3: Cross multiply
    511.46x = 706.20 × 452.51
  4. Step 4: Simplify right side
    511.46x = 319,560.30
  5. Step 5: Solve for x
    x = 319,560.30/511.46
  6. Step 6: Final answer
    x = 624.80

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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.