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Finding the Fourth Proportional to 582.29, 804.83 and 511.82

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Solution

The fourth proportional to 582.29, 804.83 and 511.82 is: 707.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.29 : 804.83 = 511.82 : x
  2. Step 2: Convert to fraction form
    582.29/804.83 = 511.82/x
  3. Step 3: Cross multiply
    582.29x = 804.83 × 511.82
  4. Step 4: Simplify right side
    582.29x = 411,927.36
  5. Step 5: Solve for x
    x = 411,927.36/582.29
  6. Step 6: Final answer
    x = 707.43

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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.