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Finding the Fourth Proportional to 524.48, 723.74 and 288.43

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Solution

The fourth proportional to 524.48, 723.74 and 288.43 is: 398.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.48 : 723.74 = 288.43 : x
  2. Step 2: Convert to fraction form
    524.48/723.74 = 288.43/x
  3. Step 3: Cross multiply
    524.48x = 723.74 × 288.43
  4. Step 4: Simplify right side
    524.48x = 208,745.08
  5. Step 5: Solve for x
    x = 208,745.08/524.48
  6. Step 6: Final answer
    x = 398.01

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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.