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Finding the Fourth Proportional to 498.08, 745.56 and 322.15

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Solution

The fourth proportional to 498.08, 745.56 and 322.15 is: 482.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.08 : 745.56 = 322.15 : x
  2. Step 2: Convert to fraction form
    498.08/745.56 = 322.15/x
  3. Step 3: Cross multiply
    498.08x = 745.56 × 322.15
  4. Step 4: Simplify right side
    498.08x = 240,182.59
  5. Step 5: Solve for x
    x = 240,182.59/498.08
  6. Step 6: Final answer
    x = 482.21

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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.