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Finding the Fourth Proportional to 435.02, 597.77 and 347.54

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Solution

The fourth proportional to 435.02, 597.77 and 347.54 is: 477.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.02 : 597.77 = 347.54 : x
  2. Step 2: Convert to fraction form
    435.02/597.77 = 347.54/x
  3. Step 3: Cross multiply
    435.02x = 597.77 × 347.54
  4. Step 4: Simplify right side
    435.02x = 207,745.56
  5. Step 5: Solve for x
    x = 207,745.56/435.02
  6. Step 6: Final answer
    x = 477.56

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.