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Finding the Fourth Proportional to 498.34, 745.62 and 303.40

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Solution

The fourth proportional to 498.34, 745.62 and 303.40 is: 453.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.34 : 745.62 = 303.40 : x
  2. Step 2: Convert to fraction form
    498.34/745.62 = 303.40/x
  3. Step 3: Cross multiply
    498.34x = 745.62 × 303.40
  4. Step 4: Simplify right side
    498.34x = 226,221.11
  5. Step 5: Solve for x
    x = 226,221.11/498.34
  6. Step 6: Final answer
    x = 453.95

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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.