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Finding the Fourth Proportional to 535.31, 801.60 and 415.02

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Solution

The fourth proportional to 535.31, 801.60 and 415.02 is: 621.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.31 : 801.60 = 415.02 : x
  2. Step 2: Convert to fraction form
    535.31/801.60 = 415.02/x
  3. Step 3: Cross multiply
    535.31x = 801.60 × 415.02
  4. Step 4: Simplify right side
    535.31x = 332,681.48
  5. Step 5: Solve for x
    x = 332,681.48/535.31
  6. Step 6: Final answer
    x = 621.48

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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.