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Finding the Fourth Proportional to 584.64, 805.92 and 351.36

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Solution

The fourth proportional to 584.64, 805.92 and 351.36 is: 484.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.64 : 805.92 = 351.36 : x
  2. Step 2: Convert to fraction form
    584.64/805.92 = 351.36/x
  3. Step 3: Cross multiply
    584.64x = 805.92 × 351.36
  4. Step 4: Simplify right side
    584.64x = 283,168.05
  5. Step 5: Solve for x
    x = 283,168.05/584.64
  6. Step 6: Final answer
    x = 484.35

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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.