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Finding the Fourth Proportional to 459.00, 686.96 and 382.11

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Solution

The fourth proportional to 459.00, 686.96 and 382.11 is: 571.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.00 : 686.96 = 382.11 : x
  2. Step 2: Convert to fraction form
    459.00/686.96 = 382.11/x
  3. Step 3: Cross multiply
    459.00x = 686.96 × 382.11
  4. Step 4: Simplify right side
    459.00x = 262,492.38
  5. Step 5: Solve for x
    x = 262,492.38/459.00
  6. Step 6: Final answer
    x = 571.89

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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.