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Finding the Fourth Proportional to 636.32, 953.40 and 498.08

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Solution

The fourth proportional to 636.32, 953.40 and 498.08 is: 746.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.32 : 953.40 = 498.08 : x
  2. Step 2: Convert to fraction form
    636.32/953.40 = 498.08/x
  3. Step 3: Cross multiply
    636.32x = 953.40 × 498.08
  4. Step 4: Simplify right side
    636.32x = 474,869.47
  5. Step 5: Solve for x
    x = 474,869.47/636.32
  6. Step 6: Final answer
    x = 746.27

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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.