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Finding the Fourth Proportional to 711.90, 983.67 and 582.30

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Solution

The fourth proportional to 711.90, 983.67 and 582.30 is: 804.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.90 : 983.67 = 582.30 : x
  2. Step 2: Convert to fraction form
    711.90/983.67 = 582.30/x
  3. Step 3: Cross multiply
    711.90x = 983.67 × 582.30
  4. Step 4: Simplify right side
    711.90x = 572,791.04
  5. Step 5: Solve for x
    x = 572,791.04/711.90
  6. Step 6: Final answer
    x = 804.59

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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.