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Finding the Fourth Proportional to 611.48, 842.14 and 580.18

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Solution

The fourth proportional to 611.48, 842.14 and 580.18 is: 799.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.48 : 842.14 = 580.18 : x
  2. Step 2: Convert to fraction form
    611.48/842.14 = 580.18/x
  3. Step 3: Cross multiply
    611.48x = 842.14 × 580.18
  4. Step 4: Simplify right side
    611.48x = 488,592.79
  5. Step 5: Solve for x
    x = 488,592.79/611.48
  6. Step 6: Final answer
    x = 799.03

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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.