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Finding the Fourth Proportional to 524.28, 723.77 and 405.99

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Solution

The fourth proportional to 524.28, 723.77 and 405.99 is: 560.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.28 : 723.77 = 405.99 : x
  2. Step 2: Convert to fraction form
    524.28/723.77 = 405.99/x
  3. Step 3: Cross multiply
    524.28x = 723.77 × 405.99
  4. Step 4: Simplify right side
    524.28x = 293,839.54
  5. Step 5: Solve for x
    x = 293,839.54/524.28
  6. Step 6: Final answer
    x = 560.47

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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.