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Finding the Fourth Proportional to 659.46, 910.16 and 411.05

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Solution

The fourth proportional to 659.46, 910.16 and 411.05 is: 567.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.46 : 910.16 = 411.05 : x
  2. Step 2: Convert to fraction form
    659.46/910.16 = 411.05/x
  3. Step 3: Cross multiply
    659.46x = 910.16 × 411.05
  4. Step 4: Simplify right side
    659.46x = 374,123.03
  5. Step 5: Solve for x
    x = 374,123.03/659.46
  6. Step 6: Final answer
    x = 567.31

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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.