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Finding the Fourth Proportional to 523.87, 723.53 and 406.62

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Solution

The fourth proportional to 523.87, 723.53 and 406.62 is: 561.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.87 : 723.53 = 406.62 : x
  2. Step 2: Convert to fraction form
    523.87/723.53 = 406.62/x
  3. Step 3: Cross multiply
    523.87x = 723.53 × 406.62
  4. Step 4: Simplify right side
    523.87x = 294,202.79
  5. Step 5: Solve for x
    x = 294,202.79/523.87
  6. Step 6: Final answer
    x = 561.60

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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.