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Finding the Fourth Proportional to 636.58, 954.86 and 420.10

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Solution

The fourth proportional to 636.58, 954.86 and 420.10 is: 630.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.58 : 954.86 = 420.10 : x
  2. Step 2: Convert to fraction form
    636.58/954.86 = 420.10/x
  3. Step 3: Cross multiply
    636.58x = 954.86 × 420.10
  4. Step 4: Simplify right side
    636.58x = 401,136.69
  5. Step 5: Solve for x
    x = 401,136.69/636.58
  6. Step 6: Final answer
    x = 630.14

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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.