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Finding the Fourth Proportional to 792.15, 1,185.92 and 597.95

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Solution

The fourth proportional to 792.15, 1,185.92 and 597.95 is: 895.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.15 : 1,185.92 = 597.95 : x
  2. Step 2: Convert to fraction form
    792.15/1,185.92 = 597.95/x
  3. Step 3: Cross multiply
    792.15x = 1,185.92 × 597.95
  4. Step 4: Simplify right side
    792.15x = 709,120.86
  5. Step 5: Solve for x
    x = 709,120.86/792.15
  6. Step 6: Final answer
    x = 895.19

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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.