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Finding the Fourth Proportional to 586.90, 879.54 and 343.09

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Solution

The fourth proportional to 586.90, 879.54 and 343.09 is: 514.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.90 : 879.54 = 343.09 : x
  2. Step 2: Convert to fraction form
    586.90/879.54 = 343.09/x
  3. Step 3: Cross multiply
    586.90x = 879.54 × 343.09
  4. Step 4: Simplify right side
    586.90x = 301,761.38
  5. Step 5: Solve for x
    x = 301,761.38/586.90
  6. Step 6: Final answer
    x = 514.16

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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.