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Finding the Fourth Proportional to 579.97, 870.21 and 214.68

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Solution

The fourth proportional to 579.97, 870.21 and 214.68 is: 322.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.97 : 870.21 = 214.68 : x
  2. Step 2: Convert to fraction form
    579.97/870.21 = 214.68/x
  3. Step 3: Cross multiply
    579.97x = 870.21 × 214.68
  4. Step 4: Simplify right side
    579.97x = 186,816.68
  5. Step 5: Solve for x
    x = 186,816.68/579.97
  6. Step 6: Final answer
    x = 322.11

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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.