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Finding the Fourth Proportional to 410.82, 611.67 and 405.08

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Solution

The fourth proportional to 410.82, 611.67 and 405.08 is: 603.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.82 : 611.67 = 405.08 : x
  2. Step 2: Convert to fraction form
    410.82/611.67 = 405.08/x
  3. Step 3: Cross multiply
    410.82x = 611.67 × 405.08
  4. Step 4: Simplify right side
    410.82x = 247,775.28
  5. Step 5: Solve for x
    x = 247,775.28/410.82
  6. Step 6: Final answer
    x = 603.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.