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Finding the Fourth Proportional to 584.69, 878.27 and 368.42

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Solution

The fourth proportional to 584.69, 878.27 and 368.42 is: 553.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.69 : 878.27 = 368.42 : x
  2. Step 2: Convert to fraction form
    584.69/878.27 = 368.42/x
  3. Step 3: Cross multiply
    584.69x = 878.27 × 368.42
  4. Step 4: Simplify right side
    584.69x = 323,566.00
  5. Step 5: Solve for x
    x = 323,566.00/584.69
  6. Step 6: Final answer
    x = 553.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.