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Finding the Fourth Proportional to 423.09, 633.29 and 345.87

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Solution

The fourth proportional to 423.09, 633.29 and 345.87 is: 517.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.09 : 633.29 = 345.87 : x
  2. Step 2: Convert to fraction form
    423.09/633.29 = 345.87/x
  3. Step 3: Cross multiply
    423.09x = 633.29 × 345.87
  4. Step 4: Simplify right side
    423.09x = 219,034.28
  5. Step 5: Solve for x
    x = 219,034.28/423.09
  6. Step 6: Final answer
    x = 517.70

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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.