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Finding the Fourth Proportional to 535.74, 801.71 and 370.43

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Solution

The fourth proportional to 535.74, 801.71 and 370.43 is: 554.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.74 : 801.71 = 370.43 : x
  2. Step 2: Convert to fraction form
    535.74/801.71 = 370.43/x
  3. Step 3: Cross multiply
    535.74x = 801.71 × 370.43
  4. Step 4: Simplify right side
    535.74x = 296,977.44
  5. Step 5: Solve for x
    x = 296,977.44/535.74
  6. Step 6: Final answer
    x = 554.33

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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.