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Finding the Fourth Proportional to 585.05, 875.83 and 379.03

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Solution

The fourth proportional to 585.05, 875.83 and 379.03 is: 567.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.05 : 875.83 = 379.03 : x
  2. Step 2: Convert to fraction form
    585.05/875.83 = 379.03/x
  3. Step 3: Cross multiply
    585.05x = 875.83 × 379.03
  4. Step 4: Simplify right side
    585.05x = 331,965.84
  5. Step 5: Solve for x
    x = 331,965.84/585.05
  6. Step 6: Final answer
    x = 567.41

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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.