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Finding the Fourth Proportional to 497.61, 745.07 and 387.86

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Solution

The fourth proportional to 497.61, 745.07 and 387.86 is: 580.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.61 : 745.07 = 387.86 : x
  2. Step 2: Convert to fraction form
    497.61/745.07 = 387.86/x
  3. Step 3: Cross multiply
    497.61x = 745.07 × 387.86
  4. Step 4: Simplify right side
    497.61x = 288,977.19
  5. Step 5: Solve for x
    x = 288,977.19/497.61
  6. Step 6: Final answer
    x = 580.73

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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.