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Finding the Fourth Proportional to 659.73, 910.50 and 411.07

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Solution

The fourth proportional to 659.73, 910.50 and 411.07 is: 567.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.73 : 910.50 = 411.07 : x
  2. Step 2: Convert to fraction form
    659.73/910.50 = 411.07/x
  3. Step 3: Cross multiply
    659.73x = 910.50 × 411.07
  4. Step 4: Simplify right side
    659.73x = 374,279.24
  5. Step 5: Solve for x
    x = 374,279.24/659.73
  6. Step 6: Final answer
    x = 567.32

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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.