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Finding the Fourth Proportional to 635.69, 953.86 and 288.98

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Solution

The fourth proportional to 635.69, 953.86 and 288.98 is: 433.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.69 : 953.86 = 288.98 : x
  2. Step 2: Convert to fraction form
    635.69/953.86 = 288.98/x
  3. Step 3: Cross multiply
    635.69x = 953.86 × 288.98
  4. Step 4: Simplify right side
    635.69x = 275,647.08
  5. Step 5: Solve for x
    x = 275,647.08/635.69
  6. Step 6: Final answer
    x = 433.62

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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.