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Finding the Fourth Proportional to 582.89, 804.62 and 386.33

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Solution

The fourth proportional to 582.89, 804.62 and 386.33 is: 533.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.89 : 804.62 = 386.33 : x
  2. Step 2: Convert to fraction form
    582.89/804.62 = 386.33/x
  3. Step 3: Cross multiply
    582.89x = 804.62 × 386.33
  4. Step 4: Simplify right side
    582.89x = 310,846.91
  5. Step 5: Solve for x
    x = 310,846.91/582.89
  6. Step 6: Final answer
    x = 533.29

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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.