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Finding the Fourth Proportional to 459.44, 633.10 and 340.98

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Solution

The fourth proportional to 459.44, 633.10 and 340.98 is: 469.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.44 : 633.10 = 340.98 : x
  2. Step 2: Convert to fraction form
    459.44/633.10 = 340.98/x
  3. Step 3: Cross multiply
    459.44x = 633.10 × 340.98
  4. Step 4: Simplify right side
    459.44x = 215,874.44
  5. Step 5: Solve for x
    x = 215,874.44/459.44
  6. Step 6: Final answer
    x = 469.86

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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.