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Finding the Fourth Proportional to 535.09, 805.47 and 382.07

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Solution

The fourth proportional to 535.09, 805.47 and 382.07 is: 575.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.09 : 805.47 = 382.07 : x
  2. Step 2: Convert to fraction form
    535.09/805.47 = 382.07/x
  3. Step 3: Cross multiply
    535.09x = 805.47 × 382.07
  4. Step 4: Simplify right side
    535.09x = 307,745.92
  5. Step 5: Solve for x
    x = 307,745.92/535.09
  6. Step 6: Final answer
    x = 575.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.