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Finding the Fourth Proportional to 523.12, 717.22 and 514.64

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Solution

The fourth proportional to 523.12, 717.22 and 514.64 is: 705.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.12 : 717.22 = 514.64 : x
  2. Step 2: Convert to fraction form
    523.12/717.22 = 514.64/x
  3. Step 3: Cross multiply
    523.12x = 717.22 × 514.64
  4. Step 4: Simplify right side
    523.12x = 369,110.10
  5. Step 5: Solve for x
    x = 369,110.10/523.12
  6. Step 6: Final answer
    x = 705.59

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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.