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Finding the Fourth Proportional to 659.95, 910.79 and 411.28

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Solution

The fourth proportional to 659.95, 910.79 and 411.28 is: 567.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.95 : 910.79 = 411.28 : x
  2. Step 2: Convert to fraction form
    659.95/910.79 = 411.28/x
  3. Step 3: Cross multiply
    659.95x = 910.79 × 411.28
  4. Step 4: Simplify right side
    659.95x = 374,589.71
  5. Step 5: Solve for x
    x = 374,589.71/659.95
  6. Step 6: Final answer
    x = 567.60

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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.