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Finding the Fourth Proportional to 602.05, 834.03 and 587.69

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Solution

The fourth proportional to 602.05, 834.03 and 587.69 is: 814.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.05 : 834.03 = 587.69 : x
  2. Step 2: Convert to fraction form
    602.05/834.03 = 587.69/x
  3. Step 3: Cross multiply
    602.05x = 834.03 × 587.69
  4. Step 4: Simplify right side
    602.05x = 490,150.05
  5. Step 5: Solve for x
    x = 490,150.05/602.05
  6. Step 6: Final answer
    x = 814.14

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.