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Finding the Fourth Proportional to 535.84, 798.21 and 488.45

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Solution

The fourth proportional to 535.84, 798.21 and 488.45 is: 727.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.84 : 798.21 = 488.45 : x
  2. Step 2: Convert to fraction form
    535.84/798.21 = 488.45/x
  3. Step 3: Cross multiply
    535.84x = 798.21 × 488.45
  4. Step 4: Simplify right side
    535.84x = 389,887.67
  5. Step 5: Solve for x
    x = 389,887.67/535.84
  6. Step 6: Final answer
    x = 727.62

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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.