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Finding the Fourth Proportional to 584.54, 876.64 and 214.28

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Solution

The fourth proportional to 584.54, 876.64 and 214.28 is: 321.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.54 : 876.64 = 214.28 : x
  2. Step 2: Convert to fraction form
    584.54/876.64 = 214.28/x
  3. Step 3: Cross multiply
    584.54x = 876.64 × 214.28
  4. Step 4: Simplify right side
    584.54x = 187,846.42
  5. Step 5: Solve for x
    x = 187,846.42/584.54
  6. Step 6: Final answer
    x = 321.36

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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.