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Finding the Fourth Proportional to 459.84, 633.70 and 328.62

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Solution

The fourth proportional to 459.84, 633.70 and 328.62 is: 452.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.84 : 633.70 = 328.62 : x
  2. Step 2: Convert to fraction form
    459.84/633.70 = 328.62/x
  3. Step 3: Cross multiply
    459.84x = 633.70 × 328.62
  4. Step 4: Simplify right side
    459.84x = 208,246.49
  5. Step 5: Solve for x
    x = 208,246.49/459.84
  6. Step 6: Final answer
    x = 452.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.