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Finding the Fourth Proportional to 636.40, 953.96 and 312.24

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Solution

The fourth proportional to 636.40, 953.96 and 312.24 is: 468.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.40 : 953.96 = 312.24 : x
  2. Step 2: Convert to fraction form
    636.40/953.96 = 312.24/x
  3. Step 3: Cross multiply
    636.40x = 953.96 × 312.24
  4. Step 4: Simplify right side
    636.40x = 297,864.47
  5. Step 5: Solve for x
    x = 297,864.47/636.40
  6. Step 6: Final answer
    x = 468.05

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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.