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Finding the Fourth Proportional to 523.96, 723.05 and 291.10

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Solution

The fourth proportional to 523.96, 723.05 and 291.10 is: 401.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.96 : 723.05 = 291.10 : x
  2. Step 2: Convert to fraction form
    523.96/723.05 = 291.10/x
  3. Step 3: Cross multiply
    523.96x = 723.05 × 291.10
  4. Step 4: Simplify right side
    523.96x = 210,478.40
  5. Step 5: Solve for x
    x = 210,478.40/523.96
  6. Step 6: Final answer
    x = 401.71

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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.