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Finding the Fourth Proportional to 681.02, 1,021.54 and 357.02

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Solution

The fourth proportional to 681.02, 1,021.54 and 357.02 is: 535.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.02 : 1,021.54 = 357.02 : x
  2. Step 2: Convert to fraction form
    681.02/1,021.54 = 357.02/x
  3. Step 3: Cross multiply
    681.02x = 1,021.54 × 357.02
  4. Step 4: Simplify right side
    681.02x = 364,710.21
  5. Step 5: Solve for x
    x = 364,710.21/681.02
  6. Step 6: Final answer
    x = 535.54

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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.