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Finding the Fourth Proportional to 635.68, 954.40 and 505.76

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Solution

The fourth proportional to 635.68, 954.40 and 505.76 is: 759.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.68 : 954.40 = 505.76 : x
  2. Step 2: Convert to fraction form
    635.68/954.40 = 505.76/x
  3. Step 3: Cross multiply
    635.68x = 954.40 × 505.76
  4. Step 4: Simplify right side
    635.68x = 482,697.34
  5. Step 5: Solve for x
    x = 482,697.34/635.68
  6. Step 6: Final answer
    x = 759.34

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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.