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Finding the Fourth Proportional to 632.76, 873 and 412

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Solution

The fourth proportional to 632.76, 873 and 412 is: 568.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.76 : 873 = 412 : x
  2. Step 2: Convert to fraction form
    632.76/873 = 412/x
  3. Step 3: Cross multiply
    632.76x = 873 × 412
  4. Step 4: Simplify right side
    632.76x = 359,676
  5. Step 5: Solve for x
    x = 359,676/632.76
  6. Step 6: Final answer
    x = 568.42

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Find fourth proportional to 316.38, 436.50 and 206
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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.