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Finding the Fourth Proportional to 459.23, 633.47 and 311.58

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Solution

The fourth proportional to 459.23, 633.47 and 311.58 is: 429.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.23 : 633.47 = 311.58 : x
  2. Step 2: Convert to fraction form
    459.23/633.47 = 311.58/x
  3. Step 3: Cross multiply
    459.23x = 633.47 × 311.58
  4. Step 4: Simplify right side
    459.23x = 197,375.02
  5. Step 5: Solve for x
    x = 197,375.02/459.23
  6. Step 6: Final answer
    x = 429.80

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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.