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Finding the Fourth Proportional to 525.44, 718.78 and 523.28

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Solution

The fourth proportional to 525.44, 718.78 and 523.28 is: 715.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.44 : 718.78 = 523.28 : x
  2. Step 2: Convert to fraction form
    525.44/718.78 = 523.28/x
  3. Step 3: Cross multiply
    525.44x = 718.78 × 523.28
  4. Step 4: Simplify right side
    525.44x = 376,123.20
  5. Step 5: Solve for x
    x = 376,123.20/525.44
  6. Step 6: Final answer
    x = 715.83

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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.