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Finding the Fourth Proportional to 523.48, 720.84 and 406.84

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Solution

The fourth proportional to 523.48, 720.84 and 406.84 is: 560.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.48 : 720.84 = 406.84 : x
  2. Step 2: Convert to fraction form
    523.48/720.84 = 406.84/x
  3. Step 3: Cross multiply
    523.48x = 720.84 × 406.84
  4. Step 4: Simplify right side
    523.48x = 293,266.55
  5. Step 5: Solve for x
    x = 293,266.55/523.48
  6. Step 6: Final answer
    x = 560.22

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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.