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Finding the Fourth Proportional to 523.71, 722.50 and 482.26

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Solution

The fourth proportional to 523.71, 722.50 and 482.26 is: 665.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.71 : 722.50 = 482.26 : x
  2. Step 2: Convert to fraction form
    523.71/722.50 = 482.26/x
  3. Step 3: Cross multiply
    523.71x = 722.50 × 482.26
  4. Step 4: Simplify right side
    523.71x = 348,432.85
  5. Step 5: Solve for x
    x = 348,432.85/523.71
  6. Step 6: Final answer
    x = 665.32

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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.