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Finding the Fourth Proportional to 535.47, 798.41 and 525.75

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Solution

The fourth proportional to 535.47, 798.41 and 525.75 is: 783.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.47 : 798.41 = 525.75 : x
  2. Step 2: Convert to fraction form
    535.47/798.41 = 525.75/x
  3. Step 3: Cross multiply
    535.47x = 798.41 × 525.75
  4. Step 4: Simplify right side
    535.47x = 419,761.43
  5. Step 5: Solve for x
    x = 419,761.43/535.47
  6. Step 6: Final answer
    x = 783.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.