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Finding the Fourth Proportional to 497.13, 745.89 and 208.59

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Solution

The fourth proportional to 497.13, 745.89 and 208.59 is: 312.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.13 : 745.89 = 208.59 : x
  2. Step 2: Convert to fraction form
    497.13/745.89 = 208.59/x
  3. Step 3: Cross multiply
    497.13x = 745.89 × 208.59
  4. Step 4: Simplify right side
    497.13x = 155,585.20
  5. Step 5: Solve for x
    x = 155,585.20/497.13
  6. Step 6: Final answer
    x = 312.97

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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.