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Finding the Fourth Proportional to 664.04, 996.32 and 535.25

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Solution

The fourth proportional to 664.04, 996.32 and 535.25 is: 803.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.04 : 996.32 = 535.25 : x
  2. Step 2: Convert to fraction form
    664.04/996.32 = 535.25/x
  3. Step 3: Cross multiply
    664.04x = 996.32 × 535.25
  4. Step 4: Simplify right side
    664.04x = 533,280.28
  5. Step 5: Solve for x
    x = 533,280.28/664.04
  6. Step 6: Final answer
    x = 803.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.