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Finding the Fourth Proportional to 659.78, 910.80 and 411.44

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Solution

The fourth proportional to 659.78, 910.80 and 411.44 is: 567.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.78 : 910.80 = 411.44 : x
  2. Step 2: Convert to fraction form
    659.78/910.80 = 411.44/x
  3. Step 3: Cross multiply
    659.78x = 910.80 × 411.44
  4. Step 4: Simplify right side
    659.78x = 374,739.55
  5. Step 5: Solve for x
    x = 374,739.55/659.78
  6. Step 6: Final answer
    x = 567.98

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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.