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Finding the Fourth Proportional to 535.90, 798.53 and 509.78

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Solution

The fourth proportional to 535.90, 798.53 and 509.78 is: 759.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.90 : 798.53 = 509.78 : x
  2. Step 2: Convert to fraction form
    535.90/798.53 = 509.78/x
  3. Step 3: Cross multiply
    535.90x = 798.53 × 509.78
  4. Step 4: Simplify right side
    535.90x = 407,074.62
  5. Step 5: Solve for x
    x = 407,074.62/535.90
  6. Step 6: Final answer
    x = 759.61

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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.