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Finding the Fourth Proportional to 523.55, 721.67 and 412.85

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Solution

The fourth proportional to 523.55, 721.67 and 412.85 is: 569.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.55 : 721.67 = 412.85 : x
  2. Step 2: Convert to fraction form
    523.55/721.67 = 412.85/x
  3. Step 3: Cross multiply
    523.55x = 721.67 × 412.85
  4. Step 4: Simplify right side
    523.55x = 297,935.79
  5. Step 5: Solve for x
    x = 297,935.79/523.55
  6. Step 6: Final answer
    x = 569.07

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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.