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Finding the Fourth Proportional to 459.10, 686.98 and 321.85

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Solution

The fourth proportional to 459.10, 686.98 and 321.85 is: 481.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.10 : 686.98 = 321.85 : x
  2. Step 2: Convert to fraction form
    459.10/686.98 = 321.85/x
  3. Step 3: Cross multiply
    459.10x = 686.98 × 321.85
  4. Step 4: Simplify right side
    459.10x = 221,104.51
  5. Step 5: Solve for x
    x = 221,104.51/459.10
  6. Step 6: Final answer
    x = 481.60

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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.