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Finding the Fourth Proportional to 523.04, 721.82 and 290.21

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Solution

The fourth proportional to 523.04, 721.82 and 290.21 is: 400.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.04 : 721.82 = 290.21 : x
  2. Step 2: Convert to fraction form
    523.04/721.82 = 290.21/x
  3. Step 3: Cross multiply
    523.04x = 721.82 × 290.21
  4. Step 4: Simplify right side
    523.04x = 209,478.66
  5. Step 5: Solve for x
    x = 209,478.66/523.04
  6. Step 6: Final answer
    x = 400.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.