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Finding the Fourth Proportional to 535, 801.74 and 352.52

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Solution

The fourth proportional to 535, 801.74 and 352.52 is: 528.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    535 : 801.74 = 352.52 : x
  2. Step 2: Convert to fraction form
    535/801.74 = 352.52/x
  3. Step 3: Cross multiply
    535x = 801.74 × 352.52
  4. Step 4: Simplify right side
    535x = 282,629.38
  5. Step 5: Solve for x
    x = 282,629.38/535
  6. Step 6: Final answer
    x = 528.28

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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.