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Finding the Fourth Proportional to 641.99, 961.64 and 312.45

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Solution

The fourth proportional to 641.99, 961.64 and 312.45 is: 468.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.99 : 961.64 = 312.45 : x
  2. Step 2: Convert to fraction form
    641.99/961.64 = 312.45/x
  3. Step 3: Cross multiply
    641.99x = 961.64 × 312.45
  4. Step 4: Simplify right side
    641.99x = 300,462.86
  5. Step 5: Solve for x
    x = 300,462.86/641.99
  6. Step 6: Final answer
    x = 468.02

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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.