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Finding the Fourth Proportional to 584.82, 808.06 and 511.02

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Solution

The fourth proportional to 584.82, 808.06 and 511.02 is: 706.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.82 : 808.06 = 511.02 : x
  2. Step 2: Convert to fraction form
    584.82/808.06 = 511.02/x
  3. Step 3: Cross multiply
    584.82x = 808.06 × 511.02
  4. Step 4: Simplify right side
    584.82x = 412,934.82
  5. Step 5: Solve for x
    x = 412,934.82/584.82
  6. Step 6: Final answer
    x = 706.09

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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.