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Finding the Fourth Proportional to 496.90, 745.35 and 352.90

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Solution

The fourth proportional to 496.90, 745.35 and 352.90 is: 529.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.90 : 745.35 = 352.90 : x
  2. Step 2: Convert to fraction form
    496.90/745.35 = 352.90/x
  3. Step 3: Cross multiply
    496.90x = 745.35 × 352.90
  4. Step 4: Simplify right side
    496.90x = 263,034.02
  5. Step 5: Solve for x
    x = 263,034.02/496.90
  6. Step 6: Final answer
    x = 529.35

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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.