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Finding the Fourth Proportional to 635.99, 953.51 and 471.56

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Solution

The fourth proportional to 635.99, 953.51 and 471.56 is: 706.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.99 : 953.51 = 471.56 : x
  2. Step 2: Convert to fraction form
    635.99/953.51 = 471.56/x
  3. Step 3: Cross multiply
    635.99x = 953.51 × 471.56
  4. Step 4: Simplify right side
    635.99x = 449,630.05
  5. Step 5: Solve for x
    x = 449,630.05/635.99
  6. Step 6: Final answer
    x = 706.98

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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.