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Finding the Fourth Proportional to 523.99, 721.45 and 399.25

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Solution

The fourth proportional to 523.99, 721.45 and 399.25 is: 549.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.99 : 721.45 = 399.25 : x
  2. Step 2: Convert to fraction form
    523.99/721.45 = 399.25/x
  3. Step 3: Cross multiply
    523.99x = 721.45 × 399.25
  4. Step 4: Simplify right side
    523.99x = 288,038.91
  5. Step 5: Solve for x
    x = 288,038.91/523.99
  6. Step 6: Final answer
    x = 549.70

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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.