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Finding the Fourth Proportional to 582.58, 804.29 and 386.36

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Solution

The fourth proportional to 582.58, 804.29 and 386.36 is: 533.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.58 : 804.29 = 386.36 : x
  2. Step 2: Convert to fraction form
    582.58/804.29 = 386.36/x
  3. Step 3: Cross multiply
    582.58x = 804.29 × 386.36
  4. Step 4: Simplify right side
    582.58x = 310,745.48
  5. Step 5: Solve for x
    x = 310,745.48/582.58
  6. Step 6: Final answer
    x = 533.40

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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.