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Finding the Fourth Proportional to 497.05, 745.62 and 473.74

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Solution

The fourth proportional to 497.05, 745.62 and 473.74 is: 710.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.05 : 745.62 = 473.74 : x
  2. Step 2: Convert to fraction form
    497.05/745.62 = 473.74/x
  3. Step 3: Cross multiply
    497.05x = 745.62 × 473.74
  4. Step 4: Simplify right side
    497.05x = 353,230.02
  5. Step 5: Solve for x
    x = 353,230.02/497.05
  6. Step 6: Final answer
    x = 710.65

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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.