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Finding the Fourth Proportional to 523.91, 720 and 430.49

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Solution

The fourth proportional to 523.91, 720 and 430.49 is: 591.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.91 : 720 = 430.49 : x
  2. Step 2: Convert to fraction form
    523.91/720 = 430.49/x
  3. Step 3: Cross multiply
    523.91x = 720 × 430.49
  4. Step 4: Simplify right side
    523.91x = 309,952.80
  5. Step 5: Solve for x
    x = 309,952.80/523.91
  6. Step 6: Final answer
    x = 591.61

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.