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Finding the Fourth Proportional to 582.78, 804.45 and 386.36

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Solution

The fourth proportional to 582.78, 804.45 and 386.36 is: 533.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.78 : 804.45 = 386.36 : x
  2. Step 2: Convert to fraction form
    582.78/804.45 = 386.36/x
  3. Step 3: Cross multiply
    582.78x = 804.45 × 386.36
  4. Step 4: Simplify right side
    582.78x = 310,805.57
  5. Step 5: Solve for x
    x = 310,805.57/582.78
  6. Step 6: Final answer
    x = 533.31

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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.